← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 400 · 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 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  2. 2.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  3. 3.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 6(x + 9) = 5x + 68. What is x?
  5. 5.I think of a number, multiply it by 8 and then add 28. The answer is 212. What is my number?
  6. 6.I think of a number, multiply it by 3 and then add 22. The answer is 76. What is my number?
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  8. 8.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  9. 9.8 × ? + 18 = 138
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  12. 12.5 × ? + 25 = 90
  13. 13.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 5(x + 9) = 3x + 77. What is x?
  15. 15.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 6 and then take away 34. The answer is 80. What is my number?
  17. 17.I think of a number, multiply it by 8 and then take away 33. The answer is 31. What is my number?
  18. 18.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  20. 20.Solve for x: 9(x + 4) = 5x + 72. What is x?
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  22. 22.5 × ? − 24 = 1
  23. 23.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 5 and then add 34. The answer is 144. What is my number?
  25. 25.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  26. 26.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  27. 27.8 × ? − 8 = 120
  28. 28.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹238 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  32. 32.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 2 and then take away 10. The answer is 20. What is my number?
  34. 34.Solve for x: 4(x + 5) = 2x + 28. What is x?
  35. 35.I think of a number, multiply it by 6 and then add 9. The answer is 183. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 8. The answer is 41. What is my number?
  37. 37.I think of a number, multiply it by 9 and then take away 5. The answer is 211. What is my number?
  38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  39. 39.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  40. 40.2 × ? + 29 = 47

Answer key

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

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