← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 555 · 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 ₹5 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  3. 3.3 × ? − 20 = 1
  4. 4.Solve for x: 5(x + 2) = 3x + 22. What is x?
  5. 5.I think of a number, multiply it by 6 and then take away 40. The answer is 68. What is my number?
  6. 6.Zoya has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 6(x + 6) = 2x + 104. What is x?
  8. 8.Solve for x: 5(x + 8) = x + 88. What is x?
  9. 9.4 × ? + 13 = 65
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  11. 11.7 × ? + 17 = 136
  12. 12.I think of a number, multiply it by 3 and then add 35. The answer is 47. What is my number?
  13. 13.I think of a number, multiply it by 3 and then add 22. The answer is 103. What is my number?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 5 and then add 27. The answer is 47. What is my number?
  17. 17.4 × ? + 8 = 36
  18. 18.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 7(x + 8) = 6x + 67. What is x?
  21. 21.Solve for x: 9(x + 2) = 3x + 114. What is x?
  22. 22.Saanvi has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 3) = x + 59. What is x?
  26. 26.6 × ? + 2 = 116
  27. 27.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  28. 28.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  30. 30.3 × ? + 23 = 38
  31. 31.10 × ? + 9 = 179
  32. 32.Solve for x: 9(x + 6) = 2x + 68. What is x?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  34. 34.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 8(x + 3) = 3x + 84. What is x?
  36. 36.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 2 and then take away 38. The answer is 4. What is my number?
  38. 38.Solve for x: 9(x + 9) = x + 113. What is x?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?

Answer key

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

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