← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 377 · 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.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  2. 2.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 9(x + 6) = 7x + 66. What is x?
  5. 5.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 3 and then take away 16. The answer is 68. What is my number?
  7. 7.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  9. 9.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 7 and then add 14. The answer is 56. What is my number?
  11. 11.I think of a number, multiply it by 4 and then take away 31. The answer is 1. What is my number?
  12. 12.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 7(x + 8) = 4x + 110. What is x?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 8 and then take away 28. The answer is 44. What is my number?
  17. 17.Saanvi has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  19. 19.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  21. 21.4 × ? + 2 = 82
  22. 22.Vivaan has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  23. 23.10 × ? − 24 = 46
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  25. 25.Solve for x: 9(x + 4) = x + 92. What is x?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  27. 27.3 × ? + 6 = 39
  28. 28.Solve for x: 4(x + 3) = 2x + 26. What is x?
  29. 29.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 4(x + 2) = x + 56. What is x?
  31. 31.Solve for x: 8(x + 3) = 4x + 72. What is x?
  32. 32.I think of a number, multiply it by 4 and then add 16. The answer is 116. What is my number?
  33. 33.I think of a number, multiply it by 4 and then add 2. The answer is 66. What is my number?
  34. 34.6 × ? + 2 = 110
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  36. 36.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 5 and then add 23. The answer is 58. What is my number?
  38. 38.Solve for x: 3(x + 4) = x + 44. What is x?
  39. 39.Solve for x: 3(x + 4) = x + 24. What is x?
  40. 40.Solve for x: 9(x + 2) = 3x + 48. What is x?

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude