← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 944 · 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 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  3. 3.10 × ? + 20 = 190
  4. 4.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 4 and then add 35. The answer is 71. What is my number?
  7. 7.I think of a number, multiply it by 7 and then take away 14. The answer is 35. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹27 in all. What does one pencil cost (in ₹)?
  9. 9.5 × ? + 5 = 80
  10. 10.I think of a number, multiply it by 3 and then add 22. The answer is 67. What is my number?
  11. 11.I think of a number, multiply it by 5 and then take away 8. The answer is 117. What is my number?
  12. 12.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  14. 14.7 × ? + 27 = 55
  15. 15.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 6) = x + 86. What is x?
  17. 17.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  19. 19.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 4(x + 8) = 2x + 58. What is x?
  22. 22.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  23. 23.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  25. 25.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  26. 26.5 × ? + 30 = 110
  27. 27.Solve for x: 8(x + 3) = x + 115. What is x?
  28. 28.Solve for x: 4(x + 1) = 3x + 15. What is x?
  29. 29.A pen costs ₹8 more than a pencil. 3 pens and 8 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹308 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  32. 32.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹257 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  35. 35.2 × ? + 8 = 40
  36. 36.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.3 × ? + 30 = 87
  38. 38.I think of a number, multiply it by 2 and then add 2. The answer is 60. What is my number?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  40. 40.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?

Answer key

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

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