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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 436 · 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. 1.2 × ? + 21 = 45
  2. 2.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  4. 4.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 8 and then add 14. The answer is 70. What is my number?
  6. 6.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  7. 7.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  8. 8.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  10. 10.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 6(x + 4) = 5x + 26. What is x?
  12. 12.6 × ? − 4 = 74
  13. 13.Solve for x: 4(x + 1) = 2x + 8. What is x?
  14. 14.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  16. 16.7 × ? + 5 = 152
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  18. 18.9 × ? − 9 = 126
  19. 19.Farhan has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  20. 20.10 × ? + 20 = 200
  21. 21.I think of a number, multiply it by 7 and then take away 7. The answer is 140. What is my number?
  22. 22.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  23. 23.6 × ? − 14 = 106
  24. 24.I think of a number, multiply it by 2 and then add 14. The answer is 52. What is my number?
  25. 25.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  26. 26.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  28. 28.3 × ? + 28 = 40
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  32. 32.7 × ? − 10 = 46
  33. 33.4 × ? + 6 = 38
  34. 34.7 × ? − 29 = 41
  35. 35.Solve for x: 6(x + 7) = 5x + 54. What is x?
  36. 36.10 × ? + 6 = 56
  37. 37.I think of a number, multiply it by 9 and then add 3. The answer is 255. What is my number?
  38. 38.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  39. 39.6 × ? + 24 = 72
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?

Answer key

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

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