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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 930 · 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.

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  1. 1.12 × ? − 5 = 295
  2. 2.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  4. 4.7 × ? + 11 = 81
  5. 5.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 4(x + 3) = x + 57. What is x?
  8. 8.I think of a number, multiply it by 3 and then take away 12. The answer is 6. What is my number?
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 4 and then take away 5. The answer is 47. What is my number?
  11. 11.Solve for x: 8(x + 8) = 7x + 81. What is x?
  12. 12.Solve for x: 8(x + 3) = 7x + 29. What is x?
  13. 13.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  14. 14.Solve for x: 4(x + 5) = x + 59. What is x?
  15. 15.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  16. 16.7 × ? + 6 = 146
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.Solve for x: 3(x + 3) = x + 41. What is x?
  19. 19.11 × ? − 14 = 96
  20. 20.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  23. 23.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 7(x + 4) = 5x + 54. What is x?
  25. 25.9 × ? − 7 = 29
  26. 26.Solve for x: 9(x + 7) = x + 79. What is x?
  27. 27.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  28. 28.9 × ? + 18 = 171
  29. 29.Solve for x: 7(x + 1) = 4x + 10. What is x?
  30. 30.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  31. 31.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 4(x + 5) = 3x + 39. What is x?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  34. 34.6 × ? − 20 = 40
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 6(x + 9) = x + 79. What is x?
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  39. 39.Solve for x: 5(x + 2) = 4x + 26. What is x?
  40. 40.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?

Answer key

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

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