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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 24 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  2. 2.3 × ? + 5 = 74
  3. 3.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  4. 4.Aditya has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  5. 5.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  6. 6.Aditya has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  7. 7.5 × ? + 12 = 47
  8. 8.Priya has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  12. 12.Solve for x: 7(x + 1) = 3x + 63. What is x?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  14. 14.5 × ? − 9 = 91
  15. 15.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 3 and then add 6. The answer is 42. What is my number?
  17. 17.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  18. 18.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 5 and then take away 22. The answer is 73. What is my number?
  22. 22.9 × ? − 27 = 99
  23. 23.Solve for x: 9(x + 4) = 5x + 40. What is x?
  24. 24.7 × ? + 12 = 166
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  26. 26.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 3) = 5x + 66. What is x?
  28. 28.Solve for x: 8(x + 2) = 2x + 82. What is x?
  29. 29.I think of a number, multiply it by 4 and then add 9. The answer is 33. What is my number?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  31. 31.7 × ? − 16 = 89
  32. 32.I think of a number, multiply it by 3 and then take away 2. The answer is 43. What is my number?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 4 and then take away 6. The answer is 10. What is my number?
  35. 35.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  36. 36.12 × ? + 18 = 78
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  38. 38.11 × ? + 12 = 89
  39. 39.I think of a number, multiply it by 3 and then take away 10. The answer is 38. What is my number?
  40. 40.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?

Answer key

  1. 8
  2. 23
  3. 5
  4. 15
  5. 9
  6. 10
  7. 7
  8. 10
  9. 20
  10. 15
  11. 14
  12. 14
  13. 16
  14. 20
  15. 16
  16. 12
  17. 15
  18. 19
  19. 5
  20. 14
  21. 19
  22. 14
  23. 1
  24. 22
  25. 3
  26. 3
  27. 14
  28. 11
  29. 6
  30. 29
  31. 15
  32. 15
  33. 23
  34. 4
  35. 17
  36. 5
  37. 15
  38. 7
  39. 16
  40. 1

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