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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 884 · 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 ₹7 more than a pencil. 3 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 9 and then add 23. The answer is 293. What is my number?
  4. 4.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  5. 5.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then take away 20. The answer is 1. What is my number?
  7. 7.Solve for x: 9(x + 1) = 8x + 25. What is x?
  8. 8.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 6 and then add 12. The answer is 66. What is my number?
  10. 10.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  12. 12.Solve for x: 9(x + 5) = x + 173. What is x?
  13. 13.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 8 and then take away 27. The answer is 61. What is my number?
  15. 15.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  16. 16.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  17. 17.12 × ? − 2 = 130
  18. 18.6 × ? − 1 = 119
  19. 19.3 × ? − 22 = 20
  20. 20.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  21. 21.12 × ? − 20 = 196
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 9) = 2x + 158. What is x?
  24. 24.I think of a number, multiply it by 3 and then add 10. The answer is 73. What is my number?
  25. 25.Solve for x: 6(x + 2) = 4x + 32. What is x?
  26. 26.7 × ? + 30 = 58
  27. 27.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 8 and then take away 39. The answer is 185. What is my number?
  29. 29.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  32. 32.8 × ? + 20 = 156
  33. 33.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  35. 35.2 × ? − 12 = 38
  36. 36.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 9 and then add 1. The answer is 73. What is my number?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  40. 40.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?

Answer key

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

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