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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 283 · 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.

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  1. 1.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 6(x + 5) = 4x + 66. What is x?
  5. 5.I think of a number, multiply it by 8 and then take away 16. The answer is 48. What is my number?
  6. 6.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  7. 7.10 × ? − 2 = 38
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  9. 9.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 3 and then add 34. The answer is 79. What is my number?
  11. 11.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  13. 13.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 4 and then take away 35. The answer is 5. What is my number?
  15. 15.11 × ? − 6 = 115
  16. 16.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 7 and then take away 14. The answer is 189. What is my number?
  18. 18.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 6(x + 7) = x + 47. What is x?
  20. 20.Solve for x: 4(x + 2) = 3x + 10. What is x?
  21. 21.I think of a number, multiply it by 5 and then add 35. The answer is 110. What is my number?
  22. 22.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 9(x + 6) = 5x + 58. What is x?
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  25. 25.2 × ? + 4 = 30
  26. 26.Solve for x: 6(x + 1) = 2x + 14. What is x?
  27. 27.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then add 31. The answer is 61. What is my number?
  29. 29.6 × ? + 6 = 72
  30. 30.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  32. 32.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 4(x + 4) = 2x + 18. What is x?
  34. 34.I think of a number, multiply it by 7 and then add 4. The answer is 123. What is my number?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  36. 36.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  37. 37.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  38. 38.2 × ? + 6 = 42
  39. 39.Solve for x: 6(x + 2) = 3x + 66. What is x?
  40. 40.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?

Answer key

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

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