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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 307 · 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.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 6(x + 3) = 2x + 50. What is x?
  3. 3.2 × ? − 5 = 17
  4. 4.Solve for x: 6(x + 3) = x + 48. What is x?
  5. 5.I think of a number, multiply it by 2 and then add 3. The answer is 45. What is my number?
  6. 6.7 × ? − 13 = 148
  7. 7.Solve for x: 9(x + 3) = 5x + 67. What is x?
  8. 8.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  9. 9.3 × ? + 19 = 94
  10. 10.Solve for x: 6(x + 5) = 3x + 66. What is x?
  11. 11.I think of a number, multiply it by 3 and then take away 18. The answer is 60. What is my number?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 5) = x + 29. What is x?
  14. 14.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  15. 15.9 × ? − 12 = 15
  16. 16.2 × ? + 27 = 37
  17. 17.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  18. 18.6 × ? − 28 = 62
  19. 19.I think of a number, multiply it by 7 and then take away 11. The answer is 164. What is my number?
  20. 20.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 8 and then take away 32. The answer is 8. What is my number?
  22. 22.I think of a number, multiply it by 3 and then take away 25. The answer is 14. What is my number?
  23. 23.I think of a number, multiply it by 9 and then add 39. The answer is 201. What is my number?
  24. 24.9 × ? − 29 = 97
  25. 25.Diya has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 6 and then take away 37. The answer is 47. What is my number?
  28. 28.8 × ? − 18 = 94
  29. 29.I think of a number, multiply it by 8 and then add 3. The answer is 195. What is my number?
  30. 30.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 5 and then add 11. The answer is 26. What is my number?
  32. 32.Solve for x: 8(x + 1) = 6x + 12. What is x?
  33. 33.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 8) = 3x + 34. What is x?
  35. 35.I think of a number, multiply it by 7 and then add 17. The answer is 164. What is my number?
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  39. 39.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 7(x + 1) = 4x + 58. What is x?

Answer key

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

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