← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 405 · 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.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  3. 3.11 × ? − 29 = 114
  4. 4.I think of a number, multiply it by 8 and then take away 12. The answer is 172. What is my number?
  5. 5.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  6. 6.10 × ? + 19 = 69
  7. 7.5 × ? + 23 = 38
  8. 8.Farhan has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 4(x + 1) = 2x + 36. What is x?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  12. 12.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 3(x + 2) = x + 38. What is x?
  14. 14.I think of a number, multiply it by 6 and then add 9. The answer is 159. What is my number?
  15. 15.I think of a number, multiply it by 3 and then take away 11. The answer is 13. What is my number?
  16. 16.I think of a number, multiply it by 4 and then add 22. The answer is 66. What is my number?
  17. 17.I think of a number, multiply it by 6 and then add 39. The answer is 75. What is my number?
  18. 18.2 × ? − 13 = 7
  19. 19.Solve for x: 8(x + 9) = 3x + 172. What is x?
  20. 20.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  21. 21.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 5(x + 6) = 4x + 42. What is x?
  23. 23.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  25. 25.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 7 and then take away 13. The answer is 43. What is my number?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  28. 28.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  29. 29.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  30. 30.4 × ? + 13 = 113
  31. 31.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 9(x + 5) = 8x + 50. What is x?
  33. 33.Solve for x: 7(x + 3) = 6x + 29. What is x?
  34. 34.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 8 and then take away 39. The answer is 41. What is my number?
  36. 36.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 4(x + 3) = x + 27. What is x?
  38. 38.I think of a number, multiply it by 4 and then add 32. The answer is 96. What is my number?
  39. 39.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?

Answer key

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

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