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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 928 · 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. 1.4 × ? − 30 = 34
  2. 2.7 × ? + 25 = 46
  3. 3.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then take away 24. The answer is 25. What is my number?
  5. 5.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  7. 7.5 × ? + 14 = 29
  8. 8.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 8 and then add 40. The answer is 120. What is my number?
  11. 11.I think of a number, multiply it by 8 and then take away 40. The answer is 128. What is my number?
  12. 12.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 7(x + 7) = 6x + 51. What is x?
  14. 14.6 × ? + 29 = 95
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 7 and then take away 5. The answer is 142. What is my number?
  17. 17.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  19. 19.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  20. 20.10 × ? + 9 = 199
  21. 21.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  23. 23.3 × ? − 10 = 53
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  25. 25.Solve for x: 6(x + 3) = 4x + 54. What is x?
  26. 26.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  32. 32.Vivaan has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 2 and then add 21. The answer is 79. What is my number?
  34. 34.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 9(x + 7) = 3x + 129. What is x?
  36. 36.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  37. 37.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  38. 38.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  40. 40.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?

Answer key

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

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