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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 66 · 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 ₹11 more than a pencil. 4 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  2. 2.7 × ? − 30 = 26
  3. 3.Solve for x: 9(x + 5) = 6x + 63. What is x?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  5. 5.Solve for x: 3(x + 8) = 2x + 37. What is x?
  6. 6.I think of a number, multiply it by 5 and then add 7. The answer is 112. What is my number?
  7. 7.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 2 and then take away 39. The answer is 1. What is my number?
  10. 10.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 3 and then add 20. The answer is 65. What is my number?
  12. 12.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  13. 13.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 6(x + 7) = 5x + 57. What is x?
  15. 15.I think of a number, multiply it by 2 and then add 40. The answer is 58. What is my number?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 8 and then take away 9. The answer is 71. What is my number?
  18. 18.I think of a number, multiply it by 9 and then take away 35. The answer is 199. What is my number?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 6 and then take away 10. The answer is 152. What is my number?
  22. 22.I think of a number, multiply it by 5 and then take away 26. The answer is 109. What is my number?
  23. 23.I think of a number, multiply it by 4 and then take away 6. The answer is 6. What is my number?
  24. 24.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 6 and then add 38. The answer is 218. What is my number?
  26. 26.Solve for x: 5(x + 3) = 4x + 32. What is x?
  27. 27.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  29. 29.Manav has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  30. 30.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  32. 32.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 3 and then add 14. The answer is 86. What is my number?
  34. 34.11 × ? + 19 = 272
  35. 35.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  36. 36.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  38. 38.4 × ? + 17 = 81
  39. 39.3 × ? − 6 = 18
  40. 40.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?

Answer key

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

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