← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 860 · 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.I think of a number, multiply it by 4 and then take away 22. The answer is 30. What is my number?
  2. 2.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 6(x + 7) = 4x + 56. What is x?
  4. 4.Solve for x: 3(x + 9) = x + 39. What is x?
  5. 5.10 × ? − 26 = 34
  6. 6.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 8 and then add 29. The answer is 245. What is my number?
  9. 9.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 4 and then add 1. The answer is 9. What is my number?
  12. 12.Solve for x: 3(x + 3) = x + 19. What is x?
  13. 13.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 8 and then add 26. The answer is 186. What is my number?
  15. 15.5 × ? + 30 = 135
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  17. 17.Solve for x: 5(x + 8) = 2x + 91. What is x?
  18. 18.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  20. 20.Solve for x: 5(x + 3) = 3x + 17. What is x?
  21. 21.I think of a number, multiply it by 8 and then take away 23. The answer is 65. What is my number?
  22. 22.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹15 more than a pencil. 3 pens and 6 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  25. 25.Solve for x: 4(x + 1) = x + 25. What is x?
  26. 26.Solve for x: 5(x + 8) = x + 64. What is x?
  27. 27.Solve for x: 3(x + 6) = 2x + 19. What is x?
  28. 28.I think of a number, multiply it by 6 and then take away 9. The answer is 123. What is my number?
  29. 29.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  31. 31.Solve for x: 8(x + 1) = x + 134. What is x?
  32. 32.6 × ? − 16 = 86
  33. 33.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? − 25 = 35
  35. 35.Solve for x: 6(x + 2) = 4x + 16. What is x?
  36. 36.I think of a number, multiply it by 9 and then add 35. The answer is 269. What is my number?
  37. 37.Dev has 29 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  38. 38.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 7 and then add 1. The answer is 64. What is my number?

Answer key

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

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