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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 805 · 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 ₹15 more than a pencil. 5 pens and 4 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 4 and then add 16. The answer is 108. What is my number?
  3. 3.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  4. 4.4 × ? + 8 = 68
  5. 5.Solve for x: 6(x + 1) = x + 86. What is x?
  6. 6.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  7. 7.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 3(x + 6) = x + 52. What is x?
  9. 9.I think of a number, multiply it by 3 and then add 40. The answer is 127. What is my number?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 1) = 2x + 14. What is x?
  14. 14.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 4 and then add 26. The answer is 34. What is my number?
  17. 17.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  18. 18.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  19. 19.8 × ? − 4 = 20
  20. 20.6 × ? − 13 = 59
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  22. 22.8 × ? + 1 = 65
  23. 23.Solve for x: 5(x + 1) = 3x + 11. What is x?
  24. 24.7 × ? + 5 = 54
  25. 25.7 × ? − 16 = 47
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 6 and then add 31. The answer is 139. What is my number?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  29. 29.Solve for x: 5(x + 1) = 3x + 7. What is x?
  30. 30.Solve for x: 5(x + 8) = x + 44. What is x?
  31. 31.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  33. 33.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 4(x + 4) = 2x + 32. What is x?
  36. 36.11 × ? + 11 = 198
  37. 37.Solve for x: 5(x + 3) = 3x + 43. What is x?
  38. 38.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 6 and then add 20. The answer is 182. What is my number?
  40. 40.6 × ? − 6 = 114

Answer key

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

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