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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 191 · 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.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 9 and then add 27. The answer is 297. What is my number?
  3. 3.I think of a number, multiply it by 3 and then add 12. The answer is 72. What is my number?
  4. 4.9 × ? + 4 = 58
  5. 5.Solve for x: 7(x + 6) = 6x + 55. What is x?
  6. 6.Solve for x: 4(x + 1) = x + 64. What is x?
  7. 7.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then take away 4. The answer is 148. What is my number?
  9. 9.9 × ? − 16 = 146
  10. 10.I think of a number, multiply it by 5 and then add 14. The answer is 159. What is my number?
  11. 11.7 × ? + 6 = 111
  12. 12.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹199 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  14. 14.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 8 and then take away 8. The answer is 168. What is my number?
  16. 16.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹19 in all. What does one pencil cost (in ₹)?
  17. 17.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  18. 18.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 7 and then add 30. The answer is 114. What is my number?
  20. 20.I think of a number, multiply it by 5 and then take away 20. The answer is 20. What is my number?
  21. 21.I think of a number, multiply it by 7 and then take away 16. The answer is 131. What is my number?
  22. 22.Solve for x: 5(x + 9) = x + 65. What is x?
  23. 23.Solve for x: 3(x + 3) = 2x + 11. What is x?
  24. 24.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 8) = 4x + 50. What is x?
  26. 26.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  27. 27.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  28. 28.8 × ? + 8 = 136
  29. 29.Solve for x: 5(x + 2) = 4x + 27. What is x?
  30. 30.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹31 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 6 and then take away 7. The answer is 143. What is my number?
  33. 33.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? + 9 = 33
  35. 35.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 5(x + 6) = 4x + 44. What is x?
  38. 38.7 × ? + 20 = 83
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 9 and then add 33. The answer is 294. What is my number?

Answer key

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

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