← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 331 · 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 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 7 and then take away 17. The answer is 25. What is my number?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  4. 4.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  6. 6.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 2 and then add 30. The answer is 46. What is my number?
  8. 8.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  9. 9.Priya has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 6(x + 1) = 2x + 82. What is x?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  14. 14.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 6(x + 1) = 2x + 30. What is x?
  17. 17.I think of a number, multiply it by 5 and then add 1. The answer is 31. What is my number?
  18. 18.I think of a number, multiply it by 6 and then take away 24. The answer is 48. What is my number?
  19. 19.Solve for x: 9(x + 5) = 8x + 52. What is x?
  20. 20.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 4(x + 2) = 2x + 42. What is x?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  24. 24.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 3 and then take away 29. The answer is 25. What is my number?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  27. 27.10 × ? + 9 = 39
  28. 28.10 × ? − 15 = 135
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  31. 31.3 × ? + 2 = 35
  32. 32.I think of a number, multiply it by 7 and then add 9. The answer is 23. What is my number?
  33. 33.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 9(x + 8) = 8x + 87. What is x?
  35. 35.Zoya has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 7(x + 7) = x + 169. What is x?
  37. 37.I think of a number, multiply it by 5 and then take away 28. The answer is 37. What is my number?
  38. 38.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 6 and then take away 15. The answer is 15. What is my number?
  40. 40.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹28 in all. What does one pencil cost (in ₹)?

Answer key

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

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