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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 204 · 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.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 7(x + 4) = x + 52. What is x?
  3. 3.Solve for x: 5(x + 5) = 3x + 51. What is x?
  4. 4.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 4(x + 4) = x + 76. What is x?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  7. 7.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  8. 8.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹267 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 6(x + 2) = 2x + 20. What is x?
  12. 12.A pen costs ₹15 more than a pencil. 3 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 8(x + 8) = 3x + 99. What is x?
  14. 14.Ananya has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  17. 17.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  18. 18.Rahul has 25 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  19. 19.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  20. 20.4 × ? + 2 = 58
  21. 21.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  23. 23.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  24. 24.12 × ? − 18 = 18
  25. 25.Solve for x: 9(x + 2) = 6x + 54. What is x?
  26. 26.4 × ? + 11 = 67
  27. 27.Solve for x: 4(x + 1) = x + 13. What is x?
  28. 28.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  29. 29.11 × ? + 16 = 115
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 3 and then add 9. The answer is 27. What is my number?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 9 and then add 2. The answer is 155. What is my number?
  35. 35.A pen costs ₹15 more than a pencil. 5 pens and 2 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  36. 36.10 × ? + 9 = 59
  37. 37.Solve for x: 3(x + 3) = x + 45. What is x?
  38. 38.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 7 and then take away 2. The answer is 33. What is my number?
  40. 40.2 × ? + 19 = 27

Answer key

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

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