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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 911 · 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.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  2. 2.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  3. 3.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 9 and then add 40. The answer is 274. What is my number?
  6. 6.10 × ? + 10 = 200
  7. 7.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  8. 8.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 4 and then add 31. The answer is 103. What is my number?
  10. 10.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  11. 11.12 × ? − 8 = 64
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 3 and then add 23. The answer is 62. What is my number?
  14. 14.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 7 and then add 36. The answer is 155. What is my number?
  17. 17.Solve for x: 5(x + 1) = 3x + 31. What is x?
  18. 18.Solve for x: 9(x + 2) = 4x + 33. What is x?
  19. 19.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  20. 20.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  21. 21.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 8(x + 6) = 2x + 72. What is x?
  26. 26.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  28. 28.Solve for x: 4(x + 2) = 3x + 11. What is x?
  29. 29.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  31. 31.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  33. 33.Solve for x: 6(x + 8) = 5x + 52. What is x?
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  35. 35.4 × ? + 11 = 31
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  38. 38.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  40. 40.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?

Answer key

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

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