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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 102 · 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.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 5(x + 6) = 4x + 44. What is x?
  3. 3.Solve for x: 7(x + 7) = x + 115. What is x?
  4. 4.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 8(x + 2) = 3x + 21. What is x?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then take away 4. The answer is 146. What is my number?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  10. 10.Solve for x: 3(x + 9) = 2x + 45. What is x?
  11. 11.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  12. 12.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 4(x + 1) = x + 34. What is x?
  14. 14.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 8 and then take away 35. The answer is 85. What is my number?
  16. 16.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  18. 18.Saanvi has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  20. 20.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  22. 22.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 7(x + 5) = 2x + 75. What is x?
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  25. 25.Solve for x: 4(x + 7) = 3x + 48. What is x?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  27. 27.Solve for x: 9(x + 4) = 5x + 52. What is x?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 3 and then take away 18. The answer is 72. What is my number?
  30. 30.I think of a number, multiply it by 2 and then add 1. The answer is 57. What is my number?
  31. 31.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  32. 32.7 × ? + 8 = 141
  33. 33.I think of a number, multiply it by 9 and then take away 24. The answer is 30. What is my number?
  34. 34.4 × ? − 3 = 61
  35. 35.Solve for x: 5(x + 5) = x + 93. What is x?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  37. 37.10 × ? + 10 = 250
  38. 38.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  40. 40.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?

Answer key

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

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