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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 700 · 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 3 and then take away 32. The answer is 55. What is my number?
  2. 2.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹302 in all. What does one pencil cost (in ₹)?
  3. 3.6 × ? − 25 = 41
  4. 4.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  5. 5.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 6 and then take away 24. The answer is 102. What is my number?
  7. 7.9 × ? + 20 = 173
  8. 8.Vivaan has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 4(x + 6) = x + 48. What is x?
  10. 10.Dev has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  12. 12.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 9 and then take away 11. The answer is 223. What is my number?
  15. 15.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
  16. 16.6 × ? + 22 = 46
  17. 17.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 4 and then take away 10. The answer is 42. What is my number?
  20. 20.I think of a number, multiply it by 9 and then add 5. The answer is 113. What is my number?
  21. 21.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  22. 22.3 × ? − 25 = 29
  23. 23.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  24. 24.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  25. 25.5 × ? − 13 = 22
  26. 26.Solve for x: 4(x + 4) = x + 49. What is x?
  27. 27.I think of a number, multiply it by 5 and then take away 36. The answer is 9. What is my number?
  28. 28.Manav has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 6(x + 1) = 4x + 14. What is x?
  33. 33.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  34. 34.10 × ? − 18 = 122
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 5 and then add 25. The answer is 65. What is my number?
  37. 37.Solve for x: 4(x + 3) = 2x + 48. What is x?
  38. 38.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 5 and then add 22. The answer is 147. What is my number?

Answer key

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

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