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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 265 · 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 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  2. 2.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  3. 3.Pooja has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 7 and then add 40. The answer is 166. What is my number?
  5. 5.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 5 and then add 31. The answer is 61. What is my number?
  7. 7.I think of a number, multiply it by 3 and then take away 27. The answer is 57. What is my number?
  8. 8.9 × ? + 30 = 93
  9. 9.I think of a number, multiply it by 2 and then add 27. The answer is 49. What is my number?
  10. 10.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  13. 13.4 × ? + 14 = 34
  14. 14.I think of a number, multiply it by 7 and then take away 9. The answer is 152. What is my number?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  16. 16.Pooja has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 2 and then add 37. The answer is 75. What is my number?
  19. 19.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  23. 23.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  27. 27.5 × ? − 1 = 29
  28. 28.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  29. 29.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 5 and then add 12. The answer is 97. What is my number?
  32. 32.I think of a number, multiply it by 9 and then take away 31. The answer is 194. What is my number?
  33. 33.6 × ? − 6 = 102
  34. 34.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 5 and then add 6. The answer is 56. What is my number?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.Solve for x: 6(x + 9) = 2x + 66. What is x?
  39. 39.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 5(x + 2) = 2x + 55. What is x?

Answer key

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

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