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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 141 · 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 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 5 and then add 39. The answer is 84. What is my number?
  3. 3.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  4. 4.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 8(x + 3) = 4x + 36. What is x?
  6. 6.7 × ? + 6 = 111
  7. 7.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹290 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 8 and then add 7. The answer is 23. What is my number?
  11. 11.Solve for x: 7(x + 5) = 6x + 55. What is x?
  12. 12.Solve for x: 5(x + 5) = 3x + 65. What is x?
  13. 13.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  14. 14.10 × ? + 6 = 26
  15. 15.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  16. 16.Dev has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  17. 17.10 × ? − 26 = 54
  18. 18.I think of a number, multiply it by 4 and then take away 35. The answer is 1. What is my number?
  19. 19.11 × ? + 21 = 153
  20. 20.6 × ? − 4 = 134
  21. 21.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 2. The answer is 74. What is my number?
  24. 24.Solve for x: 9(x + 1) = 5x + 61. What is x?
  25. 25.7 × ? + 24 = 80
  26. 26.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 2) = 5x + 67. What is x?
  28. 28.8 × ? + 19 = 83
  29. 29.I think of a number, multiply it by 8 and then take away 20. The answer is 84. What is my number?
  30. 30.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 6 and then take away 13. The answer is 83. What is my number?
  32. 32.Solve for x: 9(x + 7) = 4x + 108. What is x?
  33. 33.I think of a number, multiply it by 3 and then add 35. The answer is 89. What is my number?
  34. 34.3 × ? − 3 = 57
  35. 35.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 4 and then add 4. The answer is 16. What is my number?
  37. 37.9 × ? + 10 = 82
  38. 38.I think of a number, multiply it by 2 and then add 9. The answer is 17. What is my number?
  39. 39.I think of a number, multiply it by 2 and then take away 4. The answer is 2. What is my number?
  40. 40.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?

Answer key

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

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