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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 317 · 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 ₹12 more than a pencil. 2 pens and 3 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 4(x + 7) = x + 61. What is x?
  3. 3.12 × ? − 15 = 9
  4. 4.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 9(x + 5) = 8x + 54. What is x?
  6. 6.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 3 and then take away 4. The answer is 56. What is my number?
  10. 10.5 × ? + 30 = 40
  11. 11.Solve for x: 6(x + 4) = 5x + 30. What is x?
  12. 12.I think of a number, multiply it by 9 and then add 40. The answer is 193. What is my number?
  13. 13.11 × ? + 25 = 58
  14. 14.I think of a number, multiply it by 9 and then take away 22. The answer is 158. What is my number?
  15. 15.I think of a number, multiply it by 4 and then take away 7. The answer is 109. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 35. The answer is 65. What is my number?
  17. 17.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 8 and then add 22. The answer is 150. What is my number?
  20. 20.I think of a number, multiply it by 8 and then take away 39. The answer is 177. What is my number?
  21. 21.I think of a number, multiply it by 4 and then take away 5. The answer is 47. What is my number?
  22. 22.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 8(x + 1) = 4x + 76. What is x?
  24. 24.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  25. 25.Saanvi has 24 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 4 and then take away 9. The answer is 95. What is my number?
  27. 27.11 × ? + 19 = 206
  28. 28.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  29. 29.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  31. 31.12 × ? + 24 = 72
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  33. 33.Solve for x: 8(x + 2) = x + 44. What is x?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 2 and then add 10. The answer is 14. What is my number?
  36. 36.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 6 and then add 29. The answer is 113. What is my number?
  39. 39.3 × ? + 1 = 67
  40. 40.I think of a number, multiply it by 9 and then take away 17. The answer is 1. What is my number?

Answer key

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

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