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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 313 · 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.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 4(x + 5) = 2x + 30. What is x?
  4. 4.I think of a number, multiply it by 2 and then take away 25. The answer is 17. What is my number?
  5. 5.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 2 and then take away 32. The answer is 26. What is my number?
  7. 7.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 3(x + 4) = 2x + 20. What is x?
  9. 9.I think of a number, multiply it by 3 and then take away 5. The answer is 25. What is my number?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 4 and then add 10. The answer is 114. What is my number?
  12. 12.I think of a number, multiply it by 4 and then add 38. The answer is 50. What is my number?
  13. 13.I think of a number, multiply it by 5 and then take away 10. The answer is 80. What is my number?
  14. 14.Solve for x: 7(x + 6) = x + 150. What is x?
  15. 15.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 9(x + 6) = 7x + 74. What is x?
  17. 17.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 4 and then add 12. The answer is 36. What is my number?
  19. 19.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹318 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  22. 22.3 × ? + 30 = 45
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  24. 24.4 × ? + 19 = 63
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 2 and then take away 12. The answer is 22. What is my number?
  27. 27.I think of a number, multiply it by 2 and then add 19. The answer is 79. What is my number?
  28. 28.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  29. 29.2 × ? + 24 = 46
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  31. 31.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 2 and then take away 3. The answer is 13. What is my number?
  33. 33.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 8 and then add 28. The answer is 92. What is my number?
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  36. 36.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  38. 38.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?

Answer key

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

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