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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 758 · 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.Solve for x: 5(x + 5) = x + 89. What is x?
  2. 2.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  3. 3.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  4. 4.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  6. 6.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  7. 7.Isha has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  8. 8.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  9. 9.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 5(x + 4) = 3x + 24. What is x?
  11. 11.6 × ? − 18 = 132
  12. 12.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 4(x + 4) = x + 49. What is x?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  16. 16.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 9 and then add 15. The answer is 33. What is my number?
  19. 19.2 × ? + 12 = 24
  20. 20.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 4 and then add 2. The answer is 58. What is my number?
  22. 22.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  25. 25.Solve for x: 3(x + 8) = 2x + 44. What is x?
  26. 26.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  27. 27.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 5 and then add 38. The answer is 108. What is my number?
  29. 29.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 9 and then add 31. The answer is 229. What is my number?
  31. 31.I think of a number, multiply it by 3 and then add 15. The answer is 99. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  34. 34.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 5(x + 5) = 3x + 53. What is x?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  37. 37.Solve for x: 9(x + 4) = 3x + 72. What is x?
  38. 38.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  39. 39.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 9 and then add 24. The answer is 159. What is my number?

Answer key

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

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