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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 998 · 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.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 3 and then add 3. The answer is 36. What is my number?
  3. 3.Manav has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  5. 5.3 × ? + 9 = 36
  6. 6.I think of a number, multiply it by 2 and then add 39. The answer is 71. What is my number?
  7. 7.I think of a number, multiply it by 2 and then add 14. The answer is 58. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 5 and then add 1. The answer is 41. What is my number?
  10. 10.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  11. 11.10 × ? − 1 = 79
  12. 12.Solve for x: 9(x + 6) = 5x + 134. What is x?
  13. 13.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 5 and then add 25. The answer is 110. What is my number?
  15. 15.Solve for x: 5(x + 4) = 4x + 26. What is x?
  16. 16.I think of a number, multiply it by 8 and then take away 7. The answer is 49. What is my number?
  17. 17.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 7 and then take away 34. The answer is 29. What is my number?
  19. 19.Solve for x: 5(x + 4) = 2x + 29. What is x?
  20. 20.Solve for x: 4(x + 8) = x + 80. What is x?
  21. 21.I think of a number, multiply it by 8 and then add 36. The answer is 260. What is my number?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  23. 23.Solve for x: 3(x + 8) = 2x + 31. What is x?
  24. 24.Solve for x: 4(x + 1) = 3x + 5. What is x?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹304 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  29. 29.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹280 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  31. 31.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  32. 32.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 7) = 2x + 58. What is x?
  35. 35.7 × ? − 6 = 106
  36. 36.Solve for x: 9(x + 2) = 8x + 28. What is x?
  37. 37.Solve for x: 7(x + 7) = 3x + 57. What is x?
  38. 38.8 × ? + 2 = 42
  39. 39.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 2 and then take away 15. The answer is 35. What is my number?

Answer key

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

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