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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 235 · 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.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  3. 3.Solve for x: 3(x + 5) = 2x + 27. What is x?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  5. 5.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  6. 6.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  8. 8.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  10. 10.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 3 and then add 31. The answer is 121. What is my number?
  12. 12.5 × ? + 3 = 13
  13. 13.I think of a number, multiply it by 5 and then add 9. The answer is 134. What is my number?
  14. 14.I think of a number, multiply it by 5 and then add 39. The answer is 149. What is my number?
  15. 15.I think of a number, multiply it by 2 and then take away 1. The answer is 11. What is my number?
  16. 16.Solve for x: 3(x + 9) = x + 37. What is x?
  17. 17.3 × ? + 3 = 60
  18. 18.I think of a number, multiply it by 2 and then take away 8. The answer is 16. What is my number?
  19. 19.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  20. 20.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 5 and then add 8. The answer is 63. What is my number?
  22. 22.I think of a number, multiply it by 6 and then add 27. The answer is 75. What is my number?
  23. 23.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 2 and then add 10. The answer is 28. What is my number?
  25. 25.I think of a number, multiply it by 2 and then add 19. The answer is 27. What is my number?
  26. 26.Solve for x: 4(x + 5) = 3x + 34. What is x?
  27. 27.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 5 and then take away 2. The answer is 8. What is my number?
  29. 29.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 5 and then add 35. The answer is 60. What is my number?
  32. 32.Solve for x: 8(x + 5) = 4x + 76. What is x?
  33. 33.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 9 and then add 15. The answer is 60. What is my number?
  35. 35.5 × ? − 24 = 6
  36. 36.12 × ? + 4 = 40
  37. 37.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  38. 38.2 × ? − 6 = 12
  39. 39.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?

Answer key

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

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