← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 955 · 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 ₹12 more than a pencil. 4 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  4. 4.11 × ? − 6 = 126
  5. 5.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  7. 7.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  9. 9.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  12. 12.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  13. 13.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 2 and then add 27. The answer is 37. What is my number?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  16. 16.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 6 and then take away 8. The answer is 58. What is my number?
  18. 18.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 6 and then take away 3. The answer is 159. What is my number?
  20. 20.Solve for x: 3(x + 2) = 2x + 10. What is x?
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  22. 22.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 4(x + 3) = x + 54. What is x?
  24. 24.7 × ? − 9 = 68
  25. 25.5 × ? − 4 = 76
  26. 26.5 × ? + 4 = 34
  27. 27.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  29. 29.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  31. 31.2 × ? + 13 = 23
  32. 32.Solve for x: 4(x + 8) = 2x + 52. What is x?
  33. 33.I think of a number, multiply it by 8 and then add 2. The answer is 186. What is my number?
  34. 34.8 × ? − 3 = 77
  35. 35.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  38. 38.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹117 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 30 m. What is its breadth (in m)?

Answer key

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

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