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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 512 · 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.I think of a number, multiply it by 9 and then take away 3. The answer is 33. What is my number?
  2. 2.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  4. 4.5 × ? − 6 = 69
  5. 5.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  6. 6.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 5(x + 4) = 3x + 42. What is x?
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 3 and then add 26. The answer is 44. What is my number?
  10. 10.I think of a number, multiply it by 7 and then add 33. The answer is 68. What is my number?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  12. 12.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 7(x + 3) = 5x + 31. What is x?
  14. 14.I think of a number, multiply it by 8 and then take away 14. The answer is 106. What is my number?
  15. 15.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 4(x + 6) = x + 33. What is x?
  17. 17.Solve for x: 3(x + 8) = x + 52. What is x?
  18. 18.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 7(x + 6) = 2x + 87. What is x?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  23. 23.4 × ? − 22 = 22
  24. 24.I think of a number, multiply it by 5 and then take away 25. The answer is 125. What is my number?
  25. 25.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 3 and then add 22. The answer is 103. What is my number?
  28. 28.I think of a number, multiply it by 3 and then take away 14. The answer is 43. What is my number?
  29. 29.I think of a number, multiply it by 9 and then add 33. The answer is 186. What is my number?
  30. 30.Solve for x: 3(x + 3) = 2x + 27. What is x?
  31. 31.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 7(x + 3) = 3x + 45. What is x?
  35. 35.Solve for x: 4(x + 1) = 2x + 8. What is x?
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  37. 37.Rohan has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 9(x + 8) = 2x + 86. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 14. The answer is 35. What is my number?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?

Answer key

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

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