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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 263 · 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.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  2. 2.Solve for x: 9(x + 5) = 8x + 64. What is x?
  3. 3.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  4. 4.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  5. 5.6 × ? + 10 = 154
  6. 6.Solve for x: 9(x + 2) = 5x + 98. What is x?
  7. 7.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  8. 8.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  9. 9.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  10. 10.6 × ? + 23 = 59
  11. 11.7 × ? + 24 = 38
  12. 12.Vivaan has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 6(x + 3) = 3x + 54. What is x?
  14. 14.I think of a number, multiply it by 8 and then take away 1. The answer is 207. What is my number?
  15. 15.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  16. 16.6 × ? − 6 = 90
  17. 17.I think of a number, multiply it by 2 and then take away 6. The answer is 2. What is my number?
  18. 18.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  19. 19.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 2 and then add 19. The answer is 77. What is my number?
  22. 22.3 × ? + 19 = 49
  23. 23.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 2 and then add 3. The answer is 31. What is my number?
  26. 26.I think of a number, multiply it by 7 and then add 34. The answer is 62. What is my number?
  27. 27.2 × ? + 26 = 44
  28. 28.3 × ? + 15 = 75
  29. 29.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹280 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  31. 31.7 × ? + 10 = 108
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 9) = 2x + 44. What is x?
  35. 35.A pen costs ₹5 more than a pencil. 6 pens and 8 pencils cost ₹310 in all. What does one pencil cost (in ₹)?
  36. 36.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 8 and then add 16. The answer is 120. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 27. The answer is 43. What is my number?
  39. 39.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?

Answer key

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

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