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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 826 · 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.Aarav has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  2. 2.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 6(x + 9) = 2x + 134. What is x?
  4. 4.8 × ? + 9 = 81
  5. 5.8 × ? + 5 = 117
  6. 6.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 6(x + 7) = 2x + 54. What is x?
  9. 9.8 × ? − 10 = 62
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 2 and then add 8. The answer is 34. What is my number?
  12. 12.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 7 and then add 2. The answer is 37. What is my number?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 4 and then take away 25. The answer is 7. What is my number?
  16. 16.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  17. 17.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 8) = 3x + 49. What is x?
  19. 19.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  20. 20.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 2 and then add 8. The answer is 52. What is my number?
  22. 22.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 5(x + 7) = x + 99. What is x?
  24. 24.11 × ? − 23 = 10
  25. 25.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  27. 27.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  29. 29.5 × ? + 2 = 17
  30. 30.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  31. 31.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then add 12. The answer is 68. What is my number?
  33. 33.Solve for x: 9(x + 3) = 3x + 81. What is x?
  34. 34.4 × ? − 5 = 43
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  36. 36.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 9 and then add 4. The answer is 130. What is my number?
  38. 38.Solve for x: 5(x + 1) = 4x + 22. What is x?
  39. 39.Solve for x: 9(x + 5) = 2x + 87. What is x?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?

Answer key

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

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