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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 708 · 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.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  2. 2.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 7 and then add 6. The answer is 83. What is my number?
  4. 4.I think of a number, multiply it by 2 and then add 9. The answer is 61. What is my number?
  5. 5.9 × ? − 4 = 86
  6. 6.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 3 and then take away 34. The answer is 20. What is my number?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 7) = x + 49. What is x?
  14. 14.I think of a number, multiply it by 6 and then add 31. The answer is 115. What is my number?
  15. 15.Solve for x: 7(x + 3) = 3x + 41. What is x?
  16. 16.4 × ? − 3 = 57
  17. 17.Solve for x: 5(x + 6) = 4x + 50. What is x?
  18. 18.Solve for x: 6(x + 7) = x + 47. What is x?
  19. 19.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  20. 20.Dev has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 7(x + 5) = 3x + 115. What is x?
  23. 23.11 × ? − 4 = 260
  24. 24.Solve for x: 4(x + 9) = 3x + 37. What is x?
  25. 25.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 7(x + 6) = 4x + 81. What is x?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 3 and then add 3. The answer is 36. What is my number?
  29. 29.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 4 and then add 11. The answer is 107. What is my number?
  32. 32.I think of a number, multiply it by 4 and then take away 12. The answer is 40. What is my number?
  33. 33.Solve for x: 3(x + 3) = 2x + 25. What is x?
  34. 34.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  35. 35.2 × ? − 3 = 35
  36. 36.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?

Answer key

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

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