← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 162 · 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 × ? − 4 = 62
  2. 2.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  4. 4.2 × ? + 12 = 20
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  6. 6.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 2 and then take away 40. The answer is 8. What is my number?
  9. 9.I think of a number, multiply it by 2 and then add 4. The answer is 56. What is my number?
  10. 10.7 × ? + 16 = 51
  11. 11.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 9(x + 3) = 5x + 107. What is x?
  13. 13.Solve for x: 9(x + 5) = 4x + 65. What is x?
  14. 14.Solve for x: 7(x + 6) = 5x + 48. What is x?
  15. 15.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  17. 17.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹286 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then add 18. The answer is 200. What is my number?
  22. 22.4 × ? + 15 = 95
  23. 23.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  25. 25.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 8 and then add 19. The answer is 179. What is my number?
  27. 27.Solve for x: 8(x + 5) = 2x + 142. What is x?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  29. 29.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  30. 30.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 6(x + 3) = 2x + 50. What is x?
  32. 32.Solve for x: 7(x + 6) = 4x + 51. What is x?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  34. 34.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  35. 35.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  36. 36.6 × ? + 28 = 118
  37. 37.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  39. 39.Solve for x: 3(x + 3) = x + 13. What is x?
  40. 40.Solve for x: 7(x + 5) = 5x + 65. What is x?

Answer key

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

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