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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 278 · 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. 1.11 × ? − 13 = 262
  2. 2.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 8(x + 2) = 6x + 42. What is x?
  4. 4.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  6. 6.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 3 and then add 12. The answer is 21. What is my number?
  8. 8.Solve for x: 6(x + 6) = 2x + 44. What is x?
  9. 9.8 × ? + 1 = 105
  10. 10.Solve for x: 8(x + 6) = 7x + 55. What is x?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 9 and then take away 14. The answer is 58. What is my number?
  13. 13.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 8 and then add 7. The answer is 103. What is my number?
  15. 15.5 × ? − 2 = 53
  16. 16.I think of a number, multiply it by 2 and then take away 1. The answer is 35. What is my number?
  17. 17.I think of a number, multiply it by 5 and then add 27. The answer is 177. What is my number?
  18. 18.I think of a number, multiply it by 3 and then take away 16. The answer is 2. What is my number?
  19. 19.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  20. 20.9 × ? − 26 = 46
  21. 21.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 6 and then take away 24. The answer is 12. What is my number?
  23. 23.3 × ? + 9 = 18
  24. 24.12 × ? − 18 = 90
  25. 25.6 × ? − 12 = 102
  26. 26.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  27. 27.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 5(x + 2) = 2x + 67. What is x?
  29. 29.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 8(x + 7) = 5x + 71. What is x?
  31. 31.Solve for x: 8(x + 1) = x + 36. What is x?
  32. 32.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 6 and then take away 28. The answer is 38. What is my number?
  34. 34.7 × ? − 23 = 110
  35. 35.I think of a number, multiply it by 8 and then add 34. The answer is 186. What is my number?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  39. 39.12 × ? − 6 = 90
  40. 40.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?

Answer key

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

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