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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 890 · 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 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  3. 3.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  4. 4.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 5 and then add 10. The answer is 30. What is my number?
  6. 6.Solve for x: 5(x + 9) = 2x + 54. What is x?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  8. 8.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  11. 11.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  12. 12.4 × ? + 17 = 81
  13. 13.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  14. 14.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  16. 16.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 9(x + 7) = 6x + 78. What is x?
  18. 18.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  19. 19.5 × ? + 23 = 113
  20. 20.Solve for x: 3(x + 6) = x + 24. What is x?
  21. 21.11 × ? − 22 = 231
  22. 22.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  23. 23.11 × ? + 19 = 85
  24. 24.I think of a number, multiply it by 6 and then take away 14. The answer is 58. What is my number?
  25. 25.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 6(x + 8) = 2x + 60. What is x?
  27. 27.I think of a number, multiply it by 7 and then add 36. The answer is 85. What is my number?
  28. 28.I think of a number, multiply it by 2 and then add 8. The answer is 48. What is my number?
  29. 29.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  31. 31.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  32. 32.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  34. 34.Solve for x: 9(x + 7) = 3x + 165. What is x?
  35. 35.I think of a number, multiply it by 7 and then take away 32. The answer is 108. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 10. The answer is 130. What is my number?
  37. 37.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  38. 38.3 × ? − 22 = 2
  39. 39.7 × ? − 5 = 65
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?

Answer key

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

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