← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 398 · 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 ₹14 more than a pencil. 3 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  3. 3.Solve for x: 5(x + 9) = x + 101. What is x?
  4. 4.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  5. 5.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 4 and then take away 24. The answer is 16. What is my number?
  7. 7.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 6 and then add 39. The answer is 195. What is my number?
  9. 9.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.Solve for x: 8(x + 9) = 3x + 92. What is x?
  12. 12.I think of a number, multiply it by 8 and then add 11. The answer is 203. What is my number?
  13. 13.I think of a number, multiply it by 9 and then take away 12. The answer is 231. What is my number?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 2 and then add 22. The answer is 38. What is my number?
  16. 16.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  18. 18.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  20. 20.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  21. 21.Dev has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 4 and then add 38. The answer is 138. What is my number?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  28. 28.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 3 and then add 34. The answer is 100. What is my number?
  30. 30.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 6 and then add 22. The answer is 64. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹260 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 5) = 4x + 64. What is x?
  35. 35.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 5 and then take away 26. The answer is 54. What is my number?
  37. 37.Solve for x: 7(x + 9) = 3x + 83. What is x?
  38. 38.2 × ? + 9 = 25
  39. 39.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  40. 40.5 × ? − 16 = 49

Answer key

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

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