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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 352 · 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.I think of a number, multiply it by 9 and then add 40. The answer is 238. What is my number?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  3. 3.Solve for x: 7(x + 5) = 3x + 107. What is x?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  5. 5.Solve for x: 4(x + 1) = 3x + 7. What is x?
  6. 6.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 5 and then take away 24. The answer is 1. What is my number?
  10. 10.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  12. 12.4 × ? − 17 = 47
  13. 13.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then add 35. The answer is 155. What is my number?
  16. 16.Solve for x: 9(x + 5) = 4x + 60. What is x?
  17. 17.Solve for x: 8(x + 6) = 7x + 58. What is x?
  18. 18.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  19. 19.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 8 and then take away 15. The answer is 153. What is my number?
  22. 22.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  23. 23.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  26. 26.8 × ? − 26 = 62
  27. 27.I think of a number, multiply it by 3 and then add 25. The answer is 67. What is my number?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  29. 29.3 × ? + 28 = 40
  30. 30.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 3 and then add 21. The answer is 99. What is my number?
  33. 33.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  35. 35.3 × ? + 15 = 24
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  37. 37.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 9 and then add 30. The answer is 102. What is my number?
  39. 39.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  40. 40.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹139 in all. How many ₹5 coins are there?

Answer key

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

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