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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 80 · 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.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  3. 3.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 8 and then add 25. The answer is 265. What is my number?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  7. 7.4 × ? − 4 = 36
  8. 8.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  9. 9.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 6(x + 9) = 5x + 66. What is x?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  12. 12.12 × ? + 4 = 304
  13. 13.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 9 and then take away 18. The answer is 18. What is my number?
  15. 15.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  18. 18.Ishaan has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 4(x + 5) = x + 59. What is x?
  20. 20.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  24. 24.Solve for x: 4(x + 2) = x + 38. What is x?
  25. 25.Solve for x: 3(x + 3) = x + 41. What is x?
  26. 26.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  28. 28.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 9 and then add 32. The answer is 176. What is my number?
  32. 32.I think of a number, multiply it by 8 and then take away 23. The answer is 105. What is my number?
  33. 33.I think of a number, multiply it by 7 and then add 10. The answer is 136. What is my number?
  34. 34.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  36. 36.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  38. 38.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 8 and then take away 18. The answer is 182. What is my number?
  40. 40.I think of a number, multiply it by 5 and then take away 33. The answer is 42. What is my number?

Answer key

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

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