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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 106 · 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. 5 pens and 2 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 8(x + 3) = 3x + 49. What is x?
  3. 3.I think of a number, multiply it by 4 and then take away 4. The answer is 68. What is my number?
  4. 4.Solve for x: 3(x + 8) = x + 58. What is x?
  5. 5.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  7. 7.Solve for x: 9(x + 7) = 5x + 87. What is x?
  8. 8.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  9. 9.11 × ? − 18 = 125
  10. 10.Solve for x: 5(x + 8) = x + 104. What is x?
  11. 11.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  14. 14.2 × ? + 4 = 26
  15. 15.I think of a number, multiply it by 3 and then take away 35. The answer is 46. What is my number?
  16. 16.I think of a number, multiply it by 7 and then take away 20. The answer is 190. What is my number?
  17. 17.10 × ? − 2 = 158
  18. 18.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 7(x + 4) = 4x + 76. What is x?
  21. 21.3 × ? + 14 = 53
  22. 22.I think of a number, multiply it by 7 and then add 40. The answer is 180. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  24. 24.Solve for x: 6(x + 9) = 3x + 114. What is x?
  25. 25.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  26. 26.2 × ? + 21 = 37
  27. 27.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  29. 29.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  31. 31.7 × ? + 3 = 24
  32. 32.11 × ? + 30 = 217
  33. 33.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 5(x + 5) = 2x + 76. What is x?
  35. 35.7 × ? + 3 = 38
  36. 36.Solve for x: 7(x + 3) = x + 27. What is x?
  37. 37.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹20 in all. What does one pencil cost (in ₹)?
  39. 39.7 × ? − 4 = 24
  40. 40.I think of a number, multiply it by 8 and then add 18. The answer is 34. What is my number?

Answer key

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

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