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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 264 · 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 ₹4 more than a pencil. 4 pens and 3 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  3. 3.12 × ? + 19 = 223
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  5. 5.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 2 and then add 28. The answer is 80. What is my number?
  7. 7.Solve for x: 5(x + 6) = 4x + 35. What is x?
  8. 8.I think of a number, multiply it by 5 and then take away 5. The answer is 85. What is my number?
  9. 9.I think of a number, multiply it by 4 and then add 4. The answer is 12. What is my number?
  10. 10.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  11. 11.Solve for x: 8(x + 2) = 2x + 34. What is x?
  12. 12.I think of a number, multiply it by 7 and then take away 13. The answer is 64. What is my number?
  13. 13.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  15. 15.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 3(x + 9) = x + 65. What is x?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  18. 18.Solve for x: 3(x + 2) = 2x + 24. What is x?
  19. 19.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  21. 21.Solve for x: 4(x + 8) = x + 80. What is x?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  23. 23.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 8 and then add 31. The answer is 215. What is my number?
  25. 25.Solve for x: 8(x + 9) = 7x + 91. What is x?
  26. 26.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 5(x + 1) = x + 81. What is x?
  28. 28.Solve for x: 9(x + 3) = 8x + 34. What is x?
  29. 29.4 × ? − 20 = 76
  30. 30.Solve for x: 3(x + 6) = 2x + 21. What is x?
  31. 31.I think of a number, multiply it by 3 and then add 34. The answer is 70. What is my number?
  32. 32.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 5 and then take away 25. The answer is 30. What is my number?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  36. 36.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 3 and then add 9. The answer is 48. What is my number?
  38. 38.I think of a number, multiply it by 4 and then take away 30. The answer is 14. What is my number?
  39. 39.Solve for x: 5(x + 8) = 4x + 45. What is x?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?

Answer key

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

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