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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 247 · 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. 1.4 × ? − 9 = 15
  2. 2.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  3. 3.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  4. 4.6 × ? + 25 = 139
  5. 5.Solve for x: 7(x + 7) = 5x + 73. What is x?
  6. 6.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  7. 7.4 × ? + 30 = 54
  8. 8.3 × ? + 27 = 36
  9. 9.Solve for x: 5(x + 9) = 2x + 93. What is x?
  10. 10.I think of a number, multiply it by 3 and then take away 7. The answer is 11. What is my number?
  11. 11.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  13. 13.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 7(x + 7) = 4x + 85. What is x?
  15. 15.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  16. 16.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  17. 17.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 9(x + 6) = 3x + 78. What is x?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  20. 20.Solve for x: 4(x + 8) = x + 71. What is x?
  21. 21.Solve for x: 9(x + 8) = 2x + 184. What is x?
  22. 22.Solve for x: 3(x + 5) = x + 45. What is x?
  23. 23.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  24. 24.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  25. 25.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 5(x + 4) = 2x + 32. What is x?
  27. 27.I think of a number, multiply it by 8 and then take away 5. The answer is 147. What is my number?
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  29. 29.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  31. 31.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 8 and then add 40. The answer is 64. What is my number?
  33. 33.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  35. 35.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  36. 36.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 3 and then add 27. The answer is 111. What is my number?
  38. 38.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  39. 39.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  40. 40.8 × ? − 20 = 92

Answer key

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

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