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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 925 · 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. 1.10 × ? + 13 = 123
  2. 2.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  3. 3.5 × ? + 6 = 76
  4. 4.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 9 and then take away 36. The answer is 234. What is my number?
  6. 6.6 × ? + 24 = 108
  7. 7.Solve for x: 4(x + 8) = 3x + 52. What is x?
  8. 8.2 × ? − 20 = 28
  9. 9.I think of a number, multiply it by 2 and then add 25. The answer is 53. What is my number?
  10. 10.I think of a number, multiply it by 7 and then take away 21. The answer is 147. What is my number?
  11. 11.Solve for x: 6(x + 4) = x + 79. What is x?
  12. 12.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  13. 13.4 × ? + 6 = 78
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  15. 15.12 × ? + 4 = 172
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 2 and then add 13. The answer is 45. What is my number?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  19. 19.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  21. 21.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 8 and then take away 3. The answer is 237. What is my number?
  25. 25.8 × ? + 5 = 141
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 4) = x + 76. What is x?
  28. 28.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  29. 29.10 × ? − 4 = 126
  30. 30.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  31. 31.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  32. 32.3 × ? − 9 = 24
  33. 33.I think of a number, multiply it by 9 and then add 17. The answer is 89. What is my number?
  34. 34.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  35. 35.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  38. 38.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹285 in all. What does one pencil cost (in ₹)?

Answer key

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

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