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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 815 · 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 5 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  4. 4.10 × ? − 24 = 216
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  6. 6.12 × ? − 10 = 242
  7. 7.Solve for x: 9(x + 8) = 5x + 128. What is x?
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  9. 9.4 × ? + 18 = 42
  10. 10.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 4 and then add 11. The answer is 107. What is my number?
  12. 12.I think of a number, multiply it by 2 and then add 34. The answer is 56. What is my number?
  13. 13.I think of a number, multiply it by 9 and then add 9. The answer is 162. What is my number?
  14. 14.I think of a number, multiply it by 3 and then add 38. The answer is 50. What is my number?
  15. 15.I think of a number, multiply it by 3 and then add 19. The answer is 31. What is my number?
  16. 16.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  19. 19.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  20. 20.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  21. 21.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 9 and then take away 4. The answer is 239. What is my number?
  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.Solve for x: 4(x + 7) = x + 52. What is x?
  27. 27.I think of a number, multiply it by 8 and then add 15. The answer is 231. What is my number?
  28. 28.Solve for x: 3(x + 4) = x + 26. What is x?
  29. 29.I think of a number, multiply it by 6 and then add 13. The answer is 79. What is my number?
  30. 30.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹241 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 6(x + 2) = 4x + 20. What is x?
  32. 32.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  34. 34.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  35. 35.7 × ? − 25 = 52
  36. 36.6 × ? + 14 = 128
  37. 37.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 2 and then add 31. The answer is 85. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 12. The answer is 36. What is my number?
  40. 40.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?

Answer key

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

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