← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 213 · 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 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  2. 2.2 × ? − 2 = 2
  3. 3.8 × ? − 27 = 93
  4. 4.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 6(x + 8) = 5x + 50. What is x?
  6. 6.Solve for x: 8(x + 3) = 7x + 42. What is x?
  7. 7.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  8. 8.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 3 and then add 33. The answer is 51. What is my number?
  10. 10.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  11. 11.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  13. 13.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹298 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  16. 16.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  17. 17.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 4 and then take away 11. The answer is 85. What is my number?
  20. 20.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 4(x + 9) = x + 45. What is x?
  22. 22.I think of a number, multiply it by 7 and then take away 3. The answer is 60. What is my number?
  23. 23.I think of a number, multiply it by 5 and then take away 23. The answer is 22. What is my number?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  25. 25.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 5 and then take away 11. The answer is 94. What is my number?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 8 and then take away 32. The answer is 152. What is my number?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  31. 31.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then add 5. The answer is 181. What is my number?
  33. 33.I think of a number, multiply it by 2 and then take away 18. The answer is 14. What is my number?
  34. 34.Solve for x: 9(x + 1) = 2x + 100. What is x?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  37. 37.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  38. 38.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  39. 39.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  40. 40.Pooja has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?

Answer key

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

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