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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 187 · 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 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  2. 2.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  4. 4.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  5. 5.10 × ? + 20 = 230
  6. 6.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 8 and then take away 32. The answer is 88. What is my number?
  8. 8.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 5 and then add 8. The answer is 58. What is my number?
  10. 10.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 2 and then add 1. The answer is 9. What is my number?
  12. 12.8 × ? − 24 = 56
  13. 13.6 × ? + 14 = 86
  14. 14.9 × ? − 3 = 69
  15. 15.I think of a number, multiply it by 9 and then add 10. The answer is 226. What is my number?
  16. 16.I think of a number, multiply it by 9 and then add 32. The answer is 185. What is my number?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then add 4. The answer is 160. What is my number?
  19. 19.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 6 and then add 11. The answer is 167. What is my number?
  22. 22.I think of a number, multiply it by 7 and then add 13. The answer is 216. What is my number?
  23. 23.I think of a number, multiply it by 5 and then add 8. The answer is 133. What is my number?
  24. 24.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  25. 25.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  27. 27.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  30. 30.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 5 and then add 34. The answer is 94. What is my number?
  33. 33.Solve for x: 6(x + 3) = 5x + 19. What is x?
  34. 34.11 × ? − 27 = 28
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  36. 36.Solve for x: 6(x + 1) = 5x + 12. What is x?
  37. 37.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 7 and then add 14. The answer is 63. What is my number?
  39. 39.I think of a number, multiply it by 8 and then take away 11. The answer is 61. What is my number?
  40. 40.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?

Answer key

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

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