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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 531 · 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 ₹15 more than a pencil. 4 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  3. 3.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 3(x + 9) = 2x + 45. What is x?
  6. 6.Solve for x: 4(x + 7) = 2x + 60. What is x?
  7. 7.I think of a number, multiply it by 3 and then add 12. The answer is 45. What is my number?
  8. 8.Solve for x: 5(x + 5) = 3x + 31. What is x?
  9. 9.I think of a number, multiply it by 3 and then add 39. The answer is 81. What is my number?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  11. 11.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 9 and then add 36. The answer is 279. What is my number?
  13. 13.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 4) = 3x + 132. What is x?
  15. 15.Solve for x: 3(x + 2) = x + 16. What is x?
  16. 16.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  19. 19.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 5 and then take away 8. The answer is 67. What is my number?
  22. 22.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then take away 36. The answer is 153. What is my number?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  27. 27.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  30. 30.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 2 and then add 30. The answer is 52. What is my number?
  32. 32.I think of a number, multiply it by 3 and then add 35. The answer is 62. What is my number?
  33. 33.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  34. 34.8 × ? − 13 = 107
  35. 35.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 9(x + 5) = 6x + 105. What is x?
  37. 37.I think of a number, multiply it by 4 and then add 8. The answer is 80. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 32. The answer is 52. What is my number?
  39. 39.Solve for x: 9(x + 9) = 2x + 109. What is x?
  40. 40.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?

Answer key

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

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