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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 48 · 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 ₹4 more than a pencil. 3 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  2. 2.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 2 and then take away 6. The answer is 4. What is my number?
  4. 4.Solve for x: 3(x + 9) = 2x + 46. What is x?
  5. 5.Rahul has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then take away 32. The answer is 19. What is my number?
  7. 7.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  8. 8.3 × ? − 12 = 45
  9. 9.Solve for x: 9(x + 1) = 6x + 39. What is x?
  10. 10.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  13. 13.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  14. 14.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  16. 16.Solve for x: 7(x + 5) = x + 119. What is x?
  17. 17.Solve for x: 4(x + 6) = x + 36. What is x?
  18. 18.I think of a number, multiply it by 6 and then take away 33. The answer is 63. What is my number?
  19. 19.Solve for x: 9(x + 4) = 7x + 64. What is x?
  20. 20.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹350 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  23. 23.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  27. 27.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  29. 29.6 × ? − 8 = 22
  30. 30.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  31. 31.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 9 and then take away 21. The answer is 222. What is my number?
  33. 33.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 3 and then add 6. The answer is 42. What is my number?
  35. 35.I think of a number, multiply it by 3 and then add 36. The answer is 117. What is my number?
  36. 36.10 × ? + 24 = 234
  37. 37.I think of a number, multiply it by 5 and then take away 13. The answer is 82. What is my number?
  38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  39. 39.3 × ? + 8 = 83
  40. 40.5 × ? − 8 = 102

Answer key

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

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