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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 414 · 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.I think of a number, multiply it by 4 and then take away 11. The answer is 1. What is my number?
  2. 2.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  3. 3.2 × ? + 28 = 38
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  5. 5.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  7. 7.7 × ? + 23 = 86
  8. 8.Solve for x: 5(x + 5) = 4x + 33. What is x?
  9. 9.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  10. 10.5 × ? − 11 = 4
  11. 11.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then take away 27. The answer is 11. What is my number?
  14. 14.8 × ? − 14 = 66
  15. 15.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 5(x + 3) = x + 87. What is x?
  18. 18.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 7(x + 7) = 5x + 69. What is x?
  21. 21.Solve for x: 8(x + 1) = 7x + 25. What is x?
  22. 22.Solve for x: 6(x + 4) = x + 29. What is x?
  23. 23.A pen costs ₹15 more than a pencil. 6 pens and 4 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 3 and then add 17. The answer is 53. What is my number?
  27. 27.Solve for x: 5(x + 5) = 3x + 31. What is x?
  28. 28.Solve for x: 7(x + 9) = 6x + 79. What is x?
  29. 29.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  31. 31.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then take away 31. The answer is 33. What is my number?
  33. 33.I think of a number, multiply it by 8 and then take away 6. The answer is 66. What is my number?
  34. 34.I think of a number, multiply it by 8 and then take away 28. The answer is 60. What is my number?
  35. 35.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 6) = 6x + 81. What is x?
  37. 37.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  38. 38.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  40. 40.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?

Answer key

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

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