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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 58 · 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. 1.9 × ? − 12 = 150
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  4. 4.Solve for x: 8(x + 1) = x + 50. What is x?
  5. 5.Solve for x: 4(x + 9) = 2x + 72. What is x?
  6. 6.8 × ? − 2 = 150
  7. 7.3 × ? + 1 = 43
  8. 8.I think of a number, multiply it by 4 and then add 32. The answer is 116. What is my number?
  9. 9.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  10. 10.11 × ? − 6 = 27
  11. 11.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  13. 13.Solve for x: 7(x + 4) = 5x + 68. What is x?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  15. 15.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  16. 16.7 × ? + 28 = 56
  17. 17.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 8 and then take away 7. The answer is 209. What is my number?
  19. 19.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  20. 20.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  21. 21.8 × ? − 19 = 13
  22. 22.3 × ? + 30 = 60
  23. 23.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  27. 27.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  29. 29.7 × ? + 8 = 113
  30. 30.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  32. 32.12 × ? + 1 = 73
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  34. 34.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.10 × ? − 20 = 90
  36. 36.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 4(x + 2) = 2x + 10. What is x?
  38. 38.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  39. 39.Rahul has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  40. 40.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?

Answer key

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

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