← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 865 · 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 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  2. 2.12 × ? − 3 = 117
  3. 3.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 2 and then add 19. The answer is 77. What is my number?
  7. 7.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 3(x + 1) = 2x + 10. What is x?
  9. 9.I think of a number, multiply it by 2 and then add 12. The answer is 24. What is my number?
  10. 10.I think of a number, multiply it by 9 and then add 28. The answer is 199. What is my number?
  11. 11.I think of a number, multiply it by 7 and then add 16. The answer is 107. What is my number?
  12. 12.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  14. 14.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 8 and then add 19. The answer is 99. What is my number?
  16. 16.Dev has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  17. 17.Rohan has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 9 and then add 1. The answer is 262. What is my number?
  19. 19.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 6(x + 7) = 2x + 66. What is x?
  22. 22.I think of a number, multiply it by 2 and then take away 15. The answer is 41. What is my number?
  23. 23.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 2 and then take away 4. The answer is 36. What is my number?
  26. 26.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  27. 27.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 4 and then add 2. The answer is 118. What is my number?
  30. 30.9 × ? + 25 = 61
  31. 31.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  32. 32.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  34. 34.11 × ? + 5 = 203
  35. 35.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 7 and then add 25. The answer is 221. What is my number?
  38. 38.Solve for x: 5(x + 5) = 3x + 65. What is x?
  39. 39.I think of a number, multiply it by 3 and then take away 24. The answer is 6. What is my number?
  40. 40.Solve for x: 4(x + 6) = x + 51. What is x?

Answer key

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

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