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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 311 · 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 ₹13 more than a pencil. 4 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then add 10. The answer is 40. What is my number?
  3. 3.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 4(x + 6) = 2x + 32. What is x?
  8. 8.Solve for x: 3(x + 6) = 2x + 21. What is x?
  9. 9.Solve for x: 8(x + 3) = 4x + 64. What is x?
  10. 10.I think of a number, multiply it by 6 and then take away 25. The answer is 113. What is my number?
  11. 11.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  13. 13.Solve for x: 9(x + 9) = 8x + 91. What is x?
  14. 14.Solve for x: 3(x + 3) = 2x + 18. What is x?
  15. 15.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 6 and then add 40. The answer is 142. What is my number?
  17. 17.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 8(x + 7) = 3x + 121. What is x?
  19. 19.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then take away 29. The answer is 155. What is my number?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  22. 22.Solve for x: 5(x + 3) = 3x + 33. What is x?
  23. 23.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 6(x + 2) = 2x + 76. What is x?
  25. 25.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 7 and then take away 18. The answer is 52. What is my number?
  28. 28.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  32. 32.12 × ? − 19 = 29
  33. 33.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 3(x + 2) = x + 38. What is x?
  35. 35.I think of a number, multiply it by 3 and then take away 38. The answer is 25. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 34. The answer is 134. What is my number?
  37. 37.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 2 and then add 1. The answer is 59. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 12. The answer is 12. What is my number?
  40. 40.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?

Answer key

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

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