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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 57 · 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.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 8(x + 7) = 3x + 96. What is x?
  3. 3.Solve for x: 3(x + 4) = x + 22. What is x?
  4. 4.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  5. 5.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 6(x + 1) = 3x + 33. What is x?
  7. 7.I think of a number, multiply it by 7 and then add 33. The answer is 47. What is my number?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then add 33. The answer is 51. What is my number?
  11. 11.6 × ? + 7 = 67
  12. 12.I think of a number, multiply it by 8 and then take away 11. The answer is 37. What is my number?
  13. 13.Solve for x: 3(x + 2) = 2x + 16. What is x?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 2 and then add 20. The answer is 76. What is my number?
  16. 16.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 3 and then take away 31. The answer is 20. What is my number?
  18. 18.Solve for x: 5(x + 7) = x + 71. What is x?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  21. 21.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  23. 23.Solve for x: 8(x + 6) = 4x + 80. What is x?
  24. 24.I think of a number, multiply it by 7 and then add 9. The answer is 72. What is my number?
  25. 25.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  26. 26.4 × ? − 9 = 63
  27. 27.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 5(x + 3) = 2x + 60. What is x?
  29. 29.Kabir has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  30. 30.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 3(x + 5) = x + 19. What is x?
  32. 32.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  33. 33.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 4 and then take away 22. The answer is 10. What is my number?
  36. 36.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  37. 37.3 × ? + 21 = 96
  38. 38.9 × ? − 7 = 56
  39. 39.I think of a number, multiply it by 3 and then add 19. The answer is 55. What is my number?
  40. 40.I think of a number, multiply it by 9 and then add 3. The answer is 66. What is my number?

Answer key

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

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