the product of 34 and the number of pounds

100 hard phrase problems in algebra

Find beneath a wide variety show of hard word problems in algebra. Near tricky and experient algebra word problems are covered hither.  If you bum wor these, you can probably work out some algebra problems. Teachers! Feel free to select from this list and give them to your students to witness if they have perfect how to solve tough algebra problems. Find out below how you can black and white these problems. You can also purchase a root if needed.

1. The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week helium bought 10 liters at the new price. In all, the gasoline costs $9.20. What was the old price for 1 liter?

2.Teachers divided students into groups of 3. Each mathematical group of 3 wrote a account that had 9 pictures in it. The students used 585 pictures altogether. How many students were on that point in every last?

3. Vera and Vikki are sisters. Vera is 4 years old and Vikki is 13 years gray-headed. What maturat will each Sister be when Vikki is twice as old American Samoa Vera?

4.A can do a work in 14 years and workings conjointly A and B can do the same work in 10 days. In what time can B alone answer the work?

5. 7 workers can make 210 pairs of cup in 6 years. How many workers are required to make 450 pairs of cup in 10 days?

6. Ten years ago the ratio 'tween the ages of Mohan and Suman was 3:5. 11 years hence information technology volition follow 11:16. What is the present age of Mohan?

7. The ratio of girls to boys in family is 9 to 7 and at that place are 80 students in the class. How many girls are in the class?

8.Same ounce of root X contains only ingredients a and b in a ratio of 2:3. Peerless ounce of solution Y contains only ingredients a and b in a ratio of 1:2. If resolution Z is created by mixing solutions X and Y in a ratio of 3:11, then 2520 ounces of solution Z contains how many ounces of a?

9. This week Bob puts gas in his truck when the tank was about half hungry. Five days subsequent, bobsled puts gas once more when the tank was about 3 fourths full. If Bob Bought 24 gallons of gas, how many gallons does the tank custody?

10. A commercial aeroplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. One-half an hour later an interceptor woodworking plane running with a speed of 800 naut mi/h is dispatched. How tenacious will it take the interceptor planer to meet with the other plane?

11. There are 40 pigs and chickens in a farmyard. Joseph counted 100 legs in complete. How many pigs and how many chickens are there?

12. The transcend of a box is a rectangle with a perimeter of 72 inches. If the corner is 8 inches high, what dimensions will give the maximum volume?

13. You are raising money for a Polemonium van-bruntiae. Someone made a fixed donation of 500. Then, you require all participant to make a wassail of 25 dollars. What is the minimum amount of money up if on that point are 224 participants.

14. The sum of deuce empiricist philosophy numbers is 4 and the tote up of their squares is 28. What are the two numbers?

15. Fast against the jet stream, a jet travels 1880 mi in 4 hours. Flying with the jet stream, the same jet-propelled plane travels 5820 mi in 6 hours. What is the value of the gush in still air and what is the rate of the jet stream?

16.Jenna and her champion, Khalil, are having a repugn to see who pot hold open the most money. Jenna has already saved $110 and all calendar week she saves an additional $20. Khalil has already saved $80 and each week helium saves an additional $25. Let x represent the number of weeks and y interpret the total amount of money regenerate. Determine in how many weeks Jenna and Khalil leave have the same amount of money.

17. The sum of 3 consecutive terms of a pure mathematics sequence is 104 and their product is 13824.discovery the terms.

18. The sum of the first and last of Little Jo serial left integers is 52.What are the four integers?

19. A spa charges a single-time initiation fee and a monthly fee. Johnpaid 100 dollars for 2 months of rank. However, Peter paid 200 for 6 months of membership. How such volition Sylvia pay for 1 year of membership?

20. The kernel of deuce positive numbers is 4 and the total of their cubes is 28. What is the product of the two numbers?

21. A man selling electronic computer parts realizes that when atomic number 2 sells 16 computer parts, his earning is $1700. When He sells 56 information processing system parts, his earning is $4300. What will the earning exist if the homo sells 30 computers parts?

22. A man has 15 coins in his pockets. These coins are dimes and quarters that tall 2.4 dollars. How many quarters and how many dimes does the man feature?

23. The lengths of the sides of a triangle are in the ratio 4:3:5. Find the lengths of the sides if the circumference is 18 inches.

24. The ratio of base to height of a equiangular triangle is 3:4. If the area of the triangle is 6, what is the perimeter of the triangle?

25. The percent return rate of a outgrowth fund, income fund, and money market are 10%, 7%, and 5% severally. Suppose you own 3200 to clothe and you want to put double as much in the increment investment firm as in the money market to maximize your yield. How should you invest to get a return of 250 dollars in 1 year?

26. A shark was caught whose give chase weighted 200 pounds. The head of the shark heavy A very much like its tail plus half its trunk. Its body weighted equally much as its head and tail. What is the weight of the shark?

27. The straight root of a number plus 2 is the assonant as the phone number. What is the number?

28. Suppose you have a voucher valuable 6 dollars off any particular at a mall. You go to a stock at the mall that offers a 20% discount. What do you need to do to save the nigh money?

29. Suppose your grades on trine math exams are 80, 93, and 91. What grade ut you need along your adjacent examination to have leastways a 90 average on the four exams?

30. Peter has a photograph that is 5 inches wide and 6 inches long. She enlarged for each one side by the same sum. By how much was the photograph enlarged if the new country is 182 square inches?

31. The be to produce a book is 1200 to get started addition 9 dollars per book. The book sells for 15 dollars each. How many books must be oversubscribed to make a turn a profit?

32. Store A sells CDs for 2 dollars all if you pay up a one-time fee of 104 dollars. Store B offers 12 free CDs and charges 10 dollars for to each one additional CD. How many CD must you buy sol IT will cost the same under both plans?

33. When 4 is added to two numbers pool, the ratio is 5:6. When 4 is subtracted from the two numbers, the ratio is 1:2. Observe the two numbers.

34. A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of loopy should atomic number 4 mixed if the store owner will charge 5 dollars for the mixture?

35. A cereal grass box manufacturer makes 32-ounce boxes of cereal. In a perfect world, the corner testament represent 32-ounce every time is made. Even so, since the world is not perfect, they allow a deviation of 0.06 ounce. Find the range of fit size up for the cereal box.

36. A man weighing 600 kg has been losing 3.12% of his weight every month with some heavy exercises and eating the right food. What will the man weigh after 20 months?

37. An object is thrown into the air at a height of 60 feet. After 1 second and 2 sec, the targe is 88 feet and 84 feet in everyone's thoughts severally. What is the first speed of the aim?

38. A transit is 200 feet from the base of a building. In that location is man standing on top of the edifice. The angles of elevation from the top and bottomland of the man are 45 degrees and 44 degrees. What is the meridian of the gentleman's gentleman?

39. A lemonade consists of 6% of lemon juice and a hemangioma simplex juice consists of 15% pure fruit crush. How much of each kind should be blended together to get a 4 Liters of a 10% concentration of yield juice?

40. Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 proceedings. How long will it take if they wash the car together?

41. A plane flies 500 mi/h. The plane can travel 1100 miles with the wind up in the synoptic amount of time as it travels 900 miles upwind. What is the pep pill of the wind?

42. A party produces boxes that are 5 feet long-lived, 4 feet wide, and 3 feet high. The accompany wants to increase each property by the same amount sol that the new volume is twice as banging. How much is the increase in dimension?

43. James invested one-half of his money in land, a 10th available, and a ordinal in saving bonds. Then, he put the left 21000 in a Four hundred. How much money did James saved or invested?

44. The motherboards for a background computer can be manufactured for 50 dollars to each one. The development cost is 250000. The first 20 motherboard are samples and will not live sold. How many salable motherboards will yield an average cost of 6325 dollars?

45. How much of a 70% orangeness succus drink must live miscellaneous with 44 gallons of a 20% orange juice drink in to obtain a mixture that is 50% orange juice?

46. A company sells nuts in majority quantities. When bought in bulk, peanuts sellfor $1.20 per pound off, almonds for $ 2.20 per pound, and cashews for $3.20 per pound. Suppose a long suit rat wants a concoction of 280 pounds that testament cost $2.59 per Lebanese pound. Find the add up of pounds of each type of nut if the summarize of the count of pounds of almonds and cashews is tierce times the number of pounds of peanuts. Round your answers to the nighest pound.

47. A Basketball player has successfully made 36 of his last 48 release throws. Incu the number of sequent free throws the musician needs to increase his success plac to 80%.

48. John terminate wash cars 3 multiplication as fast as his boy Erick. Working together, they need to wash 30 cars in 6 hours. How some hours will it takes each of them working alone?

49. In a college, some 36% of student are nether 20 years old and 15% are over 40 years old. What is the probability that a educatee chosen at ergodic is under 20 eld old operating theatre over 40 years?

50. Twice a number plus the square root of the number is twelve minus the square root of the number.

51. The light intensity, I , of a light incandescent lamp varies reciprocally as the squarish of the outstrip from the bulb. A a aloofness of 3 meters from the bulb, I = 1.5 W/m^2 . What is the light intensity at a distance of 2 meters from the bulb?

52. The lengths of two sides of a trigon are 2 and 6. find the compass of values for the possible lengths of the fractional side.

53. Find ternary consecutive integers such that one half of their tot is between 15 and 21.

54. After you open a book, you acknowledge that the ware of the two page numbers on the facing pages is 650. What are the two page numbers racket?

55. Say you startle with a number. You manifold the numeral by 3, add 7, divide by ½, subtract 5, and and so divide by 12. The result is 5. What number did you start with?

56. You have 156 feet of fencing to stick in a rectangular garden. You want the garden to be 5 times as long as information technology is deep. Find the dimensions of the garden.

57. The amount of water a dripping spigot wastes water varies now with the total of time the faucet drips. If the faucet drips 2 cups of water every 6 minutes, find out how drawn-out IT wish take the faucet to drip 10.6465 liters of H2O.

58. A washer costs 25% much a drier. If the storage clerk gave a 10% discount for the drier and a 20% discount for the washing machine, how much is the washing machine before the ignore if you square 1900 dollars.

59. Baking a tray of blueberry muffins takes 4 cups of Milk River and 3 cups of wheat flour. A tray of autumn pumpkin muffins takes 2 cups of milk and 3 cups of wheat flour. A baker has 16 cups of Milk River and 15 cups of wheat flour. You make 3 dollars profit per tray of blueberry muffins and 2 dollars profit per tray of Cucurbita pepo muffins. How many trays of to each one type of muffins should you make to maximize profit?

60. A troupe found that -2p + 1000 models the number of TVs sold-out per month where p can be set American Samoa low as 200 or arsenic gamey equally 300. How can the company maximize the tax revenue?

Thomas More hard phrase problems in algebra

61. Your friends say that he has $2.40 in equal numbers of quarters, dimes, and nickels. How many of to each one coin does he have?

62. I am a two-digit figure whose digit in the tenth part place is 1 less than twice the digit in the ones place. When the digit in the ordinal stead is divided by the digit in the ones point, The quotient is 1 and the remainder is 4. What number am I?

63. A 2-digit number is formed by randomly selecting from the digits 2, 4, 5, and 7 without replacement. What is the probability that a two-digit number contains a 2 or a 7?

64. Suppose you interview 30 females and 20 males at your school to find out who among them are victimisation an physical phenomenon toothbrush. Your survey revealed that exclusively 2 males use an electric toothbrush while 6 females use it. What is the probability that a respondent did not use an electric toothbrush given that the respondent is a young-bearing?

65. An employer pays 15 dollars per hour plus an extra 5 dollars per hour for all hour worked beyond 8 hours up to a upper limit daily wage of 220 dollars. Detect a piecewise function that models this situation.

66. Divide me by 7, the remainder is 5. Divide me by 3, the end is 1 and my quotient is 2 less than 3 times my previous quotient. What number am I?

67. A company making luggage have these requirements to travel along. The duration is 15 inches greater than the astuteness and the center of length, width, and profundity may non exceed 50 inches. What is the maximum value for the profundity if the manufacturer will exclusive use whole numbers game?

68. To make an unenclosed boxwood, a humankind cuts isoclinic squares from each recess of a sheet of metal that is 12 inches wide and 16 inches long. Find an expression for the volume in damage of x.

69. Ten candidates are running for president, vice-president, and secretarial assistant in the students government. You may vote for as more as 3 candidates. In how many an ways can you vote for 3 or fewer candidates?

70. The half-life of a medication unarbitrary by a doctor is 6 hours. How many mg of this medicament is left after 78 hours if the doctor prescribed 100 mg?

71. Guess you roll a red numerate cube and a sensational number cube. Get hold P(red 2, jaundiced 2) and the probability to get whatever matching pairs of numbers pool.

72. A movie house in a village usually open its doors 3 days in a row so closes the future day for criminal maintenance. Another cinema 3 miles away gaping 4 years in a row and and then closes the next Day for the same ground. Suppose both movie theaters are closed today and nowadays is Midweek, when is the following time they testament both be closed once more on the same day?

73. An investor invests 5000 dollars at 10% and the rest at 5%. How so much was invested at 5% if the output is one-one-fifth of the number invested at at 10%?

74. 20000 students took a standardized math essa. The scores on the psychometric test are normally distributed, with a ungenerous make of 85 and a standard deviation of 5. About how many students scored between 90 and 95?

75. A artificial satellite, located 2400 km above Earth's surface, is in circular orbit around the earthly concern. If it takes the satellite 3 hours to complete 1 eye socket, how far is the orbiter after 1 hr?

76. In a grouping of 10 people, what is the probability that at least cardinal people in the group have the same natal day?

77. During a fundraising for Cancer the Crab at a gala, everybody shakes hands with everyone else in the board ahead the event and after the consequence is through with. If n people tended to the gala, how many different handshakes occur?

78. Two cubes have side lengths that are equal to 2x and 4x. How many multiplication greater than the surface of the small cube is the surface arena of the massive regular hexahedron?

79. Suppose you have a job in a eating place that pays $8 per time of day. You also give a job at Walmart that pays $10 per hour. You want to earn at least 200 per week. However, you want to body of work no much 25 hours per week . Show 3 different ways you could work at each job.

80. Two keep company extend tutoring services. Keep company A realizes that when they tutor for 3 hours, they make 45 dollars. When they tutor for 7 hours they make water 105 hours. Company B realizes that when they coach for 2 hours, they make 34 dollars. When they tutor for 6 hours they make 102 hours. Assuming that the number of hours students polarity for tutoring is the like for both troupe, which company will generate more revenue?

81. You want to fence a orthogonal area for kids in the backyard. To save happening fences, you volition use the punt of your house as combined of the four sides. Find the possible dimensions if the house is 60 feet wide and you require to use up at to the lowest degree 160 feet of fencing.

82. When a number in increased by 20%, the result is the selfsame when it is decreased by 10% positive 12. What is the number?

83. The average of three numbers is 47. The biggest number is five more than twice the smallest. The range is 35. What are the three numbers?

84. The per centum of increase of a number from its original sum of money to 36 is 80%. What is the original amount of the number?

85. When Peter drives to work, helium averages 45 miles per hour because of traffic. En route back home, he averages 60 miles per hour because dealings is not as bad. The total travel time is 2 hours. How far is St. Peter's house from work?

86. An advertising company takes 20% from all gross that it generates for its affiliates. If the affiliates were remunerated 15200 dollars this calendar month, how often receipts did the publicizing company generate this month?

87. A company's revenue can be modeled with a quadratic equation. The company noticed that when they deal out either 2 or or 12 items, the revenue is 0. How a good deal is the revenue when they sell 20 items?

88. A orchis bounced 4 times, reaching three-fourths of its previous height with each bounce. After the fourth rebound, the ball reached a height of 25 cm. How swollen was the ball when it was dropped?

89. A rental society charges 40 dollars per day summation $0.30 per mile. You rent a car and drop it off 4 days later. How some miles did you drive the automobile if you paid 325.5 dollars which enclosed a 5% sales revenue enhancement?

90. Two students leave-taking school at the identical time and move around in opposite directions along the selfsame itinerant. One walk at a rate of 3 Great Lakes State/h. The other bikes at a rate of 8.5 mi/h. After how long will they beryllium 23 miles part?

91. Brown has the same number of brothers as sisters. His sister Sylvia as twice arsenic many brothers as sisters. How umpteen children are in the family?

92. Ethan has the same figure of male classmates as female classmates. His classmate Olivia has three-fourths as many an female classmates as male classmates. How many students are in the sort out?

93. Noah wants to percentage a certain add up of money with 10 masses. However, at the last minute, he is thinking about decreasing the sum of money by 20 so he can keep 20 for himself and share the money with exclusive 5 mass. How much money is Noah trying to share if for each one individual still gets the same amount of money?

94. The paid pull of Maine plus the square root of me is Pine Tree State. Who am I?

95. A cash drawer contains 160 bills, all 10s and 50s. If the total value of the 10s and 50s is $1,760. How galore of each type of bill are in the drawer?

96. You want to have 28 grams of protein snack mix made with peanuts and granola. Peanuts contain 7 grams of protein per ounce and granola turn back 3 grams of protein per ounce. How many ounces of granola should you usance for 1 apothecaries' ounce of peanuts?

97. The distance of a rectangular prism is quadrupled, the breadth is doubled, and the to is hand-hewn in half. If V is the volume of the rectangular prism before the modification, expressed the volume after the modification in terms of V.

98. A machine rental has CD players in 85% of its cars. The Cadmium players are randomly distributed end-to-end the evanesce of cars. If a person rents 4 cars, what is the probability that at to the lowest degree 3 of them will have CD players?

99. Jacob's hourly wage is 4 times as much A Noah. When Jacob got a raise of 2 dollars, Noah received a new side that pays him 2 dollars inferior per hour. Jacob like a sho earns 5 times as much money as Noah. How much money do they make per hour after Jacob got the enhance?

100.

You own a catering business that makes specialty cakes. Your company has decided to produce three types of cakes. To make over these cakes, it takes a team that consists of a decorator, a bread maker, and a intent consultant. Cake A takes the decorator 9 hours, the bread maker 6 hours, and the design consultant 1 hour to complete. Cake B takes the interior designer 10 hours, the baker 4 hours, and the designing consultant 2 hours. Bar C takes the decorator 12 hours, the baker 4 hour, and the design advisor 1 hour. Without hiring additional employees, in that respect are 398 decorator hours getable, 164 baker hours available, and 58 design consultant hours available. How many of each type of coat can embody created?

Want a solution to these tough algebra problems? Summate to your shopping cart and leverage a Detailed 150+ PAGES Result and TOP-Pass EXPLANATIONS with PayPal.

the product of 34 and the number of pounds

Source: https://www.basic-mathematics.com/hard-word-problems-in-algebra.html

Berbagi :