← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 201 · 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 ₹8 more than a pencil. 6 pens and 2 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  4. 4.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 4 and then add 38. The answer is 66. What is my number?
  6. 6.I think of a number, multiply it by 3 and then add 5. The answer is 71. What is my number?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  8. 8.Solve for x: 6(x + 2) = 5x + 16. What is x?
  9. 9.I think of a number, multiply it by 6 and then take away 29. The answer is 145. What is my number?
  10. 10.Solve for x: 3(x + 2) = x + 40. What is x?
  11. 11.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  12. 12.6 × ? − 4 = 44
  13. 13.Solve for x: 6(x + 3) = 5x + 29. What is x?
  14. 14.I think of a number, multiply it by 7 and then take away 9. The answer is 54. What is my number?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  16. 16.11 × ? + 18 = 95
  17. 17.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  18. 18.5 × ? − 12 = 103
  19. 19.I think of a number, multiply it by 9 and then add 32. The answer is 95. What is my number?
  20. 20.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  22. 22.4 × ? − 2 = 14
  23. 23.Farhan has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  24. 24.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 6(x + 8) = 3x + 60. What is x?
  26. 26.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 6) = 2x + 30. What is x?
  28. 28.4 × ? − 18 = 34
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  30. 30.10 × ? − 19 = 201
  31. 31.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  33. 33.Solve for x: 8(x + 7) = x + 63. What is x?
  34. 34.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 7 and then take away 7. The answer is 56. What is my number?
  36. 36.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  38. 38.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 4(x + 4) = 3x + 24. What is x?
  40. 40.I think of a number, multiply it by 2 and then add 9. The answer is 63. What is my number?

Answer key

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

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