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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 367 · 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 ₹15 more than a pencil. 3 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 9 and then add 37. The answer is 208. What is my number?
  3. 3.Solve for x: 8(x + 1) = 2x + 98. What is x?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  5. 5.5 × ? − 30 = 30
  6. 6.5 × ? + 16 = 26
  7. 7.I think of a number, multiply it by 6 and then add 23. The answer is 197. What is my number?
  8. 8.I think of a number, multiply it by 7 and then add 2. The answer is 93. What is my number?
  9. 9.I think of a number, multiply it by 5 and then take away 12. The answer is 68. What is my number?
  10. 10.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  11. 11.6 × ? − 13 = 53
  12. 12.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹284 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹276 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 8 and then add 1. The answer is 193. What is my number?
  16. 16.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 7(x + 6) = 6x + 44. What is x?
  20. 20.I think of a number, multiply it by 3 and then add 8. The answer is 35. What is my number?
  21. 21.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  22. 22.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  23. 23.5 × ? − 26 = 89
  24. 24.Solve for x: 4(x + 1) = 2x + 6. What is x?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  26. 26.Solve for x: 8(x + 3) = x + 52. What is x?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  28. 28.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  32. 32.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹274 in all. What does one pencil cost (in ₹)?
  34. 34.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 3 and then take away 6. The answer is 57. What is my number?
  36. 36.Solve for x: 3(x + 4) = 2x + 23. What is x?
  37. 37.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  38. 38.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  40. 40.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?

Answer key

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

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