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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 373 · 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.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  3. 3.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 5(x + 2) = 3x + 42. What is x?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 5 and then take away 13. The answer is 122. What is my number?
  9. 9.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  10. 10.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  12. 12.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 3 and then add 36. The answer is 96. What is my number?
  14. 14.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 6 and then take away 17. The answer is 25. What is my number?
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  17. 17.5 × ? + 8 = 88
  18. 18.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 5 and then add 9. The answer is 109. What is my number?
  21. 21.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  22. 22.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  23. 23.11 × ? + 27 = 93
  24. 24.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 3(x + 4) = x + 48. What is x?
  26. 26.I think of a number, multiply it by 4 and then add 40. The answer is 48. What is my number?
  27. 27.5 × ? − 8 = 107
  28. 28.I think of a number, multiply it by 3 and then add 37. The answer is 49. What is my number?
  29. 29.Solve for x: 6(x + 1) = 5x + 19. What is x?
  30. 30.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 4(x + 2) = 3x + 28. What is x?
  33. 33.6 × ? − 24 = 36
  34. 34.Solve for x: 9(x + 8) = x + 144. What is x?
  35. 35.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  36. 36.12 × ? + 5 = 257
  37. 37.Solve for x: 7(x + 2) = 2x + 114. What is x?
  38. 38.Solve for x: 6(x + 3) = 3x + 21. What is x?
  39. 39.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?

Answer key

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

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