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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 822 · 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 ₹14 more than a pencil. 4 pens and 7 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 4(x + 2) = 2x + 18. What is x?
  3. 3.I think of a number, multiply it by 3 and then add 34. The answer is 124. What is my number?
  4. 4.7 × ? − 5 = 156
  5. 5.Solve for x: 9(x + 3) = x + 75. What is x?
  6. 6.Solve for x: 4(x + 5) = 3x + 37. What is x?
  7. 7.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 3(x + 5) = 2x + 30. What is x?
  9. 9.Solve for x: 3(x + 2) = 2x + 16. What is x?
  10. 10.I think of a number, multiply it by 3 and then add 33. The answer is 72. What is my number?
  11. 11.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 3 and then add 2. The answer is 74. What is my number?
  13. 13.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  15. 15.10 × ? − 14 = 96
  16. 16.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  20. 20.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 4 and then add 24. The answer is 88. What is my number?
  22. 22.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 2) = 4x + 21. What is x?
  26. 26.A pen costs ₹13 more than a pencil. 5 pens and 7 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 3 and then add 22. The answer is 46. What is my number?
  29. 29.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  31. 31.3 × ? − 6 = 24
  32. 32.Solve for x: 7(x + 5) = 6x + 36. What is x?
  33. 33.I think of a number, multiply it by 2 and then take away 8. The answer is 42. What is my number?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  35. 35.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 29. The answer is 83. What is my number?
  37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 8 and then add 19. The answer is 99. What is my number?
  39. 39.Solve for x: 7(x + 2) = 3x + 78. What is x?
  40. 40.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹134 in all. What does one pencil cost (in ₹)?

Answer key

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

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