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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 417 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  2. 2.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  3. 3.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  4. 4.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  6. 6.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 7 and then add 18. The answer is 53. What is my number?
  9. 9.I think of a number, multiply it by 6 and then add 7. The answer is 139. What is my number?
  10. 10.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  14. 14.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  15. 15.5 × ? + 23 = 128
  16. 16.I think of a number, multiply it by 8 and then take away 37. The answer is 187. What is my number?
  17. 17.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  18. 18.10 × ? − 15 = 145
  19. 19.I think of a number, multiply it by 7 and then add 30. The answer is 128. What is my number?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  21. 21.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 2 and then add 7. The answer is 27. What is my number?
  23. 23.10 × ? − 14 = 46
  24. 24.I think of a number, multiply it by 6 and then take away 30. The answer is 144. What is my number?
  25. 25.I think of a number, multiply it by 2 and then take away 32. The answer is 6. What is my number?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  27. 27.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 5 and then take away 38. The answer is 102. What is my number?
  29. 29.Solve for x: 4(x + 1) = 3x + 19. What is x?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  31. 31.Solve for x: 4(x + 8) = 2x + 72. What is x?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  33. 33.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  34. 34.5 × ? − 25 = 40
  35. 35.I think of a number, multiply it by 5 and then take away 26. The answer is 29. What is my number?
  36. 36.12 × ? + 22 = 166
  37. 37.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 7(x + 5) = 2x + 90. What is x?
  40. 40.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?

Answer key

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

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