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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 698 · 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.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.7 × ? − 5 = 58
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  5. 5.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  6. 6.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  8. 8.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  9. 9.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  11. 11.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  12. 12.5 × ? + 5 = 80
  13. 13.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 7) = 3x + 39. What is x?
  17. 17.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 8) = 6x + 102. What is x?
  20. 20.Solve for x: 5(x + 1) = 4x + 22. What is x?
  21. 21.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 2 and then add 36. The answer is 76. What is my number?
  23. 23.I think of a number, multiply it by 9 and then add 18. The answer is 189. What is my number?
  24. 24.I think of a number, multiply it by 9 and then take away 35. The answer is 109. What is my number?
  25. 25.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 7(x + 8) = 4x + 80. What is x?
  28. 28.I think of a number, multiply it by 2 and then add 23. The answer is 75. What is my number?
  29. 29.7 × ? + 10 = 52
  30. 30.I think of a number, multiply it by 8 and then add 19. The answer is 203. What is my number?
  31. 31.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 9 and then take away 35. The answer is 10. What is my number?
  33. 33.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 3 and then add 30. The answer is 66. What is my number?
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 6 and then take away 10. The answer is 170. What is my number?
  37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  38. 38.Solve for x: 7(x + 4) = 2x + 73. What is x?
  39. 39.I think of a number, multiply it by 7 and then take away 8. The answer is 13. What is my number?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?

Answer key

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

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