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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 42 · 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 ₹6 more than a pencil. 2 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  2. 2.10 × ? − 27 = 163
  3. 3.7 × ? + 28 = 168
  4. 4.Solve for x: 9(x + 8) = 3x + 108. What is x?
  5. 5.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 2 and then add 15. The answer is 55. What is my number?
  8. 8.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 8(x + 4) = 2x + 98. What is x?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  11. 11.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹276 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  13. 13.Solve for x: 6(x + 5) = 5x + 45. What is x?
  14. 14.Solve for x: 3(x + 3) = x + 39. What is x?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 2 and then add 9. The answer is 63. What is my number?
  17. 17.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹263 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 2 and then add 31. The answer is 75. What is my number?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  21. 21.Solve for x: 7(x + 7) = 4x + 79. What is x?
  22. 22.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  23. 23.8 × ? − 27 = 101
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  25. 25.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 4(x + 3) = 2x + 30. What is x?
  28. 28.3 × ? + 18 = 30
  29. 29.I think of a number, multiply it by 7 and then add 7. The answer is 161. What is my number?
  30. 30.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  33. 33.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  34. 34.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then add 15. The answer is 114. What is my number?
  36. 36.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  38. 38.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  39. 39.Zoya has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?

Answer key

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

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