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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 207 · 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.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  2. 2.4 × ? + 7 = 27
  3. 3.I think of a number, multiply it by 4 and then take away 39. The answer is 57. What is my number?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  5. 5.Solve for x: 7(x + 7) = 5x + 55. What is x?
  6. 6.Solve for x: 9(x + 1) = 8x + 17. What is x?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  8. 8.5 × ? − 24 = 71
  9. 9.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  11. 11.Solve for x: 4(x + 4) = 3x + 23. What is x?
  12. 12.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  13. 13.4 × ? − 21 = 59
  14. 14.Solve for x: 5(x + 3) = 2x + 18. What is x?
  15. 15.Solve for x: 7(x + 3) = 2x + 51. What is x?
  16. 16.Solve for x: 3(x + 4) = x + 36. What is x?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  18. 18.Solve for x: 7(x + 7) = 3x + 93. What is x?
  19. 19.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 4(x + 5) = 2x + 44. What is x?
  21. 21.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 6(x + 9) = 3x + 105. What is x?
  23. 23.I think of a number, multiply it by 4 and then take away 6. The answer is 62. What is my number?
  24. 24.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  25. 25.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 2 and then add 31. The answer is 53. What is my number?
  27. 27.Solve for x: 5(x + 2) = x + 58. What is x?
  28. 28.Solve for x: 4(x + 5) = 2x + 48. What is x?
  29. 29.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 4(x + 9) = 2x + 58. What is x?
  32. 32.I think of a number, multiply it by 3 and then add 19. The answer is 43. What is my number?
  33. 33.Solve for x: 6(x + 7) = 4x + 48. What is x?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  35. 35.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  36. 36.Nisha has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 2 and then add 38. The answer is 94. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 16. The answer is 71. What is my number?
  40. 40.3 × ? + 10 = 16

Answer key

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

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