← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 113 · 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 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  2. 2.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 3(x + 2) = 2x + 12. What is x?
  4. 4.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  5. 5.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 5(x + 6) = 3x + 44. What is x?
  8. 8.I think of a number, multiply it by 9 and then take away 21. The answer is 87. What is my number?
  9. 9.I think of a number, multiply it by 2 and then add 40. The answer is 58. What is my number?
  10. 10.Solve for x: 9(x + 8) = 3x + 138. What is x?
  11. 11.I think of a number, multiply it by 6 and then take away 4. The answer is 98. What is my number?
  12. 12.Solve for x: 8(x + 2) = 2x + 136. What is x?
  13. 13.Solve for x: 8(x + 3) = 6x + 56. What is x?
  14. 14.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  16. 16.4 × ? + 19 = 87
  17. 17.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  18. 18.5 × ? − 28 = 97
  19. 19.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  21. 21.7 × ? + 17 = 192
  22. 22.I think of a number, multiply it by 6 and then add 12. The answer is 66. What is my number?
  23. 23.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  24. 24.Tara has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  28. 28.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 5(x + 5) = 2x + 61. What is x?
  30. 30.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  31. 31.6 × ? + 28 = 52
  32. 32.I think of a number, multiply it by 2 and then take away 33. The answer is 27. What is my number?
  33. 33.Solve for x: 5(x + 7) = 3x + 69. What is x?
  34. 34.10 × ? − 23 = 157
  35. 35.12 × ? + 26 = 218
  36. 36.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 8(x + 5) = 2x + 76. What is x?
  38. 38.Solve for x: 6(x + 1) = 5x + 22. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 8. The answer is 50. What is my number?
  40. 40.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?

Answer key

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

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