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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 45 · 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.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  2. 2.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 3(x + 9) = x + 49. What is x?
  5. 5.4 × ? − 18 = 30
  6. 6.9 × ? − 12 = 96
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  8. 8.Rohan has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 9 and then take away 10. The answer is 170. What is my number?
  11. 11.Solve for x: 5(x + 7) = x + 43. What is x?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  13. 13.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 4 and then add 4. The answer is 80. What is my number?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 4 and then add 18. The answer is 82. What is my number?
  18. 18.Solve for x: 5(x + 6) = x + 42. What is x?
  19. 19.I think of a number, multiply it by 3 and then add 2. The answer is 77. What is my number?
  20. 20.A pen costs ₹15 more than a pencil. 6 pens and 4 pencils cost ₹290 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  23. 23.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  24. 24.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  25. 25.8 × ? + 18 = 74
  26. 26.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  28. 28.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 2 and then add 17. The answer is 53. What is my number?
  30. 30.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 8 and then take away 12. The answer is 148. What is my number?
  33. 33.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  36. 36.Solve for x: 8(x + 1) = x + 43. What is x?
  37. 37.I think of a number, multiply it by 5 and then add 24. The answer is 39. What is my number?
  38. 38.4 × ? − 9 = 75
  39. 39.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 8(x + 3) = 3x + 79. What is x?

Answer key

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

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