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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 56 · 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.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 9(x + 3) = 8x + 33. What is x?
  4. 4.7 × ? − 30 = 96
  5. 5.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  6. 6.11 × ? − 5 = 237
  7. 7.7 × ? + 14 = 70
  8. 8.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 3 and then take away 1. The answer is 86. What is my number?
  10. 10.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  11. 11.Diya has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 3(x + 9) = x + 65. What is x?
  13. 13.Solve for x: 9(x + 1) = x + 105. What is x?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 8 and then add 40. The answer is 120. What is my number?
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  17. 17.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 8(x + 3) = 2x + 42. What is x?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  20. 20.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 4(x + 4) = 3x + 24. What is x?
  23. 23.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 4(x + 2) = 2x + 46. What is x?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  27. 27.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 3(x + 4) = x + 16. What is x?
  29. 29.I think of a number, multiply it by 5 and then take away 31. The answer is 64. What is my number?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 6 and then add 9. The answer is 57. What is my number?
  32. 32.I think of a number, multiply it by 3 and then add 25. The answer is 43. What is my number?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  34. 34.Solve for x: 9(x + 9) = 5x + 97. What is x?
  35. 35.Solve for x: 4(x + 4) = x + 40. What is x?
  36. 36.I think of a number, multiply it by 4 and then add 23. The answer is 31. What is my number?
  37. 37.6 × ? − 16 = 20
  38. 38.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  39. 39.Solve for x: 5(x + 4) = x + 64. What is x?
  40. 40.I think of a number, multiply it by 2 and then take away 1. The answer is 19. What is my number?

Answer key

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

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