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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 349 · 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 ₹12 more than a pencil. 5 pens and 3 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 7 and then add 10. The answer is 87. What is my number?
  3. 3.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  4. 4.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 5 and then take away 3. The answer is 142. What is my number?
  7. 7.I think of a number, multiply it by 6 and then add 33. The answer is 213. What is my number?
  8. 8.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  9. 9.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  11. 11.Solve for x: 5(x + 3) = 2x + 48. What is x?
  12. 12.Solve for x: 8(x + 9) = 5x + 78. What is x?
  13. 13.I think of a number, multiply it by 4 and then take away 11. The answer is 1. What is my number?
  14. 14.I think of a number, multiply it by 3 and then add 31. The answer is 118. What is my number?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  16. 16.Solve for x: 5(x + 8) = 2x + 52. What is x?
  17. 17.The length of a rectangle is 9 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  18. 18.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 1) = 2x + 44. What is x?
  20. 20.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  21. 21.2 × ? + 20 = 40
  22. 22.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  23. 23.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  28. 28.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  29. 29.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 6(x + 1) = 4x + 8. What is x?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  32. 32.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  34. 34.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  35. 35.7 × ? − 16 = 40
  36. 36.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 5 and then add 17. The answer is 132. What is my number?
  38. 38.6 × ? + 11 = 53
  39. 39.9 × ? − 7 = 137
  40. 40.Solve for x: 9(x + 3) = 3x + 105. What is x?

Answer key

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

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