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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 82 · 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 ₹14 more than a pencil. 6 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 8(x + 3) = x + 157. What is x?
  3. 3.Solve for x: 7(x + 1) = 4x + 61. What is x?
  4. 4.I think of a number, multiply it by 5 and then take away 19. The answer is 41. What is my number?
  5. 5.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  8. 8.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  10. 10.6 × ? + 2 = 116
  11. 11.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  13. 13.Solve for x: 5(x + 8) = x + 76. What is x?
  14. 14.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 7 and then add 20. The answer is 230. What is my number?
  16. 16.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 9 and then take away 17. The answer is 145. What is my number?
  18. 18.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 3 and then take away 3. The answer is 15. What is my number?
  20. 20.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  22. 22.11 × ? + 4 = 180
  23. 23.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 6 and then add 8. The answer is 50. What is my number?
  26. 26.I think of a number, multiply it by 9 and then take away 33. The answer is 30. What is my number?
  27. 27.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 8 and then add 19. The answer is 155. What is my number?
  29. 29.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 9(x + 1) = 6x + 69. What is x?
  33. 33.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  35. 35.3 × ? − 5 = 28
  36. 36.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 5 and then take away 36. The answer is 29. What is my number?
  38. 38.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 5 and then take away 3. The answer is 42. What is my number?
  40. 40.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?

Answer key

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

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