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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 640 · 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.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 3(x + 8) = x + 48. What is x?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  4. 4.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 5 and then add 22. The answer is 122. What is my number?
  7. 7.Solve for x: 7(x + 2) = 2x + 49. What is x?
  8. 8.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  10. 10.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  11. 11.12 × ? − 6 = 102
  12. 12.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  14. 14.7 × ? + 21 = 63
  15. 15.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 8) = x + 144. What is x?
  17. 17.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 1) = 2x + 40. What is x?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 4 and then add 36. The answer is 96. What is my number?
  21. 21.Solve for x: 7(x + 4) = 4x + 34. What is x?
  22. 22.Solve for x: 9(x + 9) = 3x + 141. What is x?
  23. 23.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 4(x + 8) = 2x + 40. What is x?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  26. 26.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  28. 28.12 × ? − 25 = 179
  29. 29.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  30. 30.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 6 and then take away 22. The answer is 140. What is my number?
  32. 32.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then take away 32. The answer is 130. What is my number?
  35. 35.2 × ? − 3 = 31
  36. 36.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  38. 38.2 × ? − 19 = 11
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 6 and then add 31. The answer is 49. What is my number?

Answer key

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

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