← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 152 · 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. 1.3 × ? + 9 = 15
  2. 2.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹284 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  4. 4.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  5. 5.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  7. 7.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 4(x + 2) = 2x + 24. What is x?
  11. 11.Solve for x: 8(x + 5) = 3x + 125. What is x?
  12. 12.I think of a number, multiply it by 2 and then add 15. The answer is 29. What is my number?
  13. 13.Solve for x: 8(x + 4) = 5x + 56. What is x?
  14. 14.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 2 and then add 38. The answer is 72. What is my number?
  17. 17.I think of a number, multiply it by 7 and then add 37. The answer is 100. What is my number?
  18. 18.5 × ? + 2 = 42
  19. 19.Solve for x: 8(x + 5) = 4x + 48. What is x?
  20. 20.I think of a number, multiply it by 5 and then add 32. The answer is 57. What is my number?
  21. 21.I think of a number, multiply it by 3 and then add 20. The answer is 35. What is my number?
  22. 22.I think of a number, multiply it by 6 and then add 13. The answer is 67. What is my number?
  23. 23.7 × ? + 18 = 95
  24. 24.5 × ? − 29 = 71
  25. 25.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  26. 26.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  28. 28.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  29. 29.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  31. 31.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 3 and then take away 21. The answer is 51. What is my number?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  35. 35.Solve for x: 6(x + 3) = x + 38. What is x?
  36. 36.Solve for x: 6(x + 3) = 3x + 39. What is x?
  37. 37.I think of a number, multiply it by 7 and then add 15. The answer is 204. What is my number?
  38. 38.I think of a number, multiply it by 7 and then add 22. The answer is 85. What is my number?
  39. 39.Solve for x: 5(x + 4) = x + 52. What is x?
  40. 40.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹80 in all. What does one pencil cost (in ₹)?

Answer key

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

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