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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 996 · 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.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 3 and then take away 19. The answer is 53. What is my number?
  4. 4.Solve for x: 4(x + 6) = x + 39. What is x?
  5. 5.2 × ? − 3 = 3
  6. 6.I think of a number, multiply it by 8 and then take away 20. The answer is 20. What is my number?
  7. 7.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 9 and then take away 6. The answer is 21. What is my number?
  10. 10.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  11. 11.10 × ? − 17 = 93
  12. 12.I think of a number, multiply it by 2 and then add 29. The answer is 33. What is my number?
  13. 13.I think of a number, multiply it by 8 and then take away 38. The answer is 146. What is my number?
  14. 14.3 × ? + 25 = 94
  15. 15.I think of a number, multiply it by 7 and then add 16. The answer is 86. What is my number?
  16. 16.5 × ? + 23 = 113
  17. 17.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 3(x + 4) = 2x + 25. What is x?
  20. 20.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 4(x + 7) = x + 88. What is x?
  22. 22.Solve for x: 3(x + 8) = x + 64. What is x?
  23. 23.Solve for x: 7(x + 8) = 5x + 82. What is x?
  24. 24.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 3(x + 3) = x + 25. What is x?
  28. 28.7 × ? − 2 = 173
  29. 29.I think of a number, multiply it by 3 and then add 7. The answer is 91. What is my number?
  30. 30.Solve for x: 4(x + 5) = x + 29. What is x?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 3 and then take away 22. The answer is 62. What is my number?
  33. 33.2 × ? − 14 = 34
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  35. 35.Solve for x: 4(x + 7) = x + 34. What is x?
  36. 36.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  39. 39.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 3 and then add 34. The answer is 64. What is my number?

Answer key

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

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