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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 601 · 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.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 6 and then take away 16. The answer is 50. What is my number?
  3. 3.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 6 and then add 28. The answer is 40. What is my number?
  5. 5.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 6 and then take away 6. The answer is 108. What is my number?
  8. 8.I think of a number, multiply it by 4 and then take away 27. The answer is 65. What is my number?
  9. 9.I think of a number, multiply it by 2 and then add 40. The answer is 68. What is my number?
  10. 10.5 × ? + 15 = 40
  11. 11.I think of a number, multiply it by 5 and then add 2. The answer is 107. What is my number?
  12. 12.I think of a number, multiply it by 3 and then add 4. The answer is 49. What is my number?
  13. 13.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹35 in all. What does one pencil cost (in ₹)?
  14. 14.4 × ? + 30 = 54
  15. 15.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  17. 17.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  20. 20.9 × ? + 22 = 184
  21. 21.I think of a number, multiply it by 8 and then take away 40. The answer is 184. What is my number?
  22. 22.9 × ? − 19 = 26
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  24. 24.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  25. 25.12 × ? − 4 = 284
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  27. 27.Solve for x: 9(x + 7) = 2x + 203. What is x?
  28. 28.Solve for x: 9(x + 1) = 2x + 149. What is x?
  29. 29.I think of a number, multiply it by 2 and then add 24. The answer is 52. What is my number?
  30. 30.I think of a number, multiply it by 3 and then take away 17. The answer is 61. What is my number?
  31. 31.12 × ? + 25 = 73
  32. 32.Solve for x: 3(x + 6) = x + 28. What is x?
  33. 33.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 8 and then add 26. The answer is 234. What is my number?
  35. 35.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then take away 24. The answer is 34. What is my number?
  37. 37.12 × ? + 17 = 233
  38. 38.Solve for x: 3(x + 1) = x + 23. What is x?
  39. 39.Aditya has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 7 and then take away 5. The answer is 142. What is my number?

Answer key

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

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