← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 408 · 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 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  2. 2.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  3. 3.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 9(x + 3) = 8x + 29. What is x?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  6. 6.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  7. 7.Dev has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  9. 9.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  11. 11.2 × ? + 10 = 42
  12. 12.Pooja has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  13. 13.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  14. 14.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  15. 15.7 × ? + 9 = 51
  16. 16.I think of a number, multiply it by 6 and then add 5. The answer is 53. What is my number?
  17. 17.I think of a number, multiply it by 8 and then take away 32. The answer is 56. What is my number?
  18. 18.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 7(x + 3) = 2x + 36. What is x?
  20. 20.I think of a number, multiply it by 4 and then add 2. The answer is 114. What is my number?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 3 and then take away 18. The answer is 12. What is my number?
  23. 23.I think of a number, multiply it by 9 and then take away 20. The answer is 16. What is my number?
  24. 24.Solve for x: 5(x + 2) = 2x + 22. What is x?
  25. 25.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then take away 10. The answer is 6. What is my number?
  27. 27.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  28. 28.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 2 and then add 14. The answer is 18. What is my number?
  30. 30.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 5 and then take away 26. The answer is 24. What is my number?
  32. 32.Karan has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  33. 33.2 × ? + 10 = 34
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  35. 35.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 25. The answer is 71. What is my number?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  38. 38.10 × ? + 4 = 94
  39. 39.Solve for x: 7(x + 7) = 3x + 93. What is x?
  40. 40.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?

Answer key

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

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