← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 382 · 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 ₹4 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  4. 4.11 × ? − 14 = 261
  5. 5.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 5(x + 3) = 3x + 19. What is x?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  8. 8.Solve for x: 7(x + 8) = 5x + 72. What is x?
  9. 9.I think of a number, multiply it by 7 and then add 32. The answer is 95. What is my number?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 5 and then add 4. The answer is 149. What is my number?
  12. 12.I think of a number, multiply it by 7 and then add 27. The answer is 62. What is my number?
  13. 13.Solve for x: 9(x + 1) = 8x + 14. What is x?
  14. 14.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 2 and then add 28. The answer is 70. What is my number?
  17. 17.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹15 more than a pencil. 3 pens and 6 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then add 13. The answer is 216. What is my number?
  20. 20.I think of a number, multiply it by 4 and then add 5. The answer is 89. What is my number?
  21. 21.10 × ? + 16 = 176
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 3 and then take away 27. The answer is 15. What is my number?
  25. 25.Solve for x: 4(x + 9) = 3x + 55. What is x?
  26. 26.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 6(x + 1) = x + 41. What is x?
  28. 28.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 5(x + 9) = 2x + 78. What is x?
  30. 30.I think of a number, multiply it by 4 and then take away 7. The answer is 93. What is my number?
  31. 31.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  33. 33.12 × ? − 10 = 218
  34. 34.I think of a number, multiply it by 6 and then take away 35. The answer is 19. What is my number?
  35. 35.11 × ? − 22 = 165
  36. 36.10 × ? + 1 = 21
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  38. 38.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 6(x + 3) = 2x + 26. What is x?
  40. 40.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?

Answer key

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

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