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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 55 · 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 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  2. 2.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  6. 6.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  8. 8.Solve for x: 9(x + 1) = 8x + 14. What is x?
  9. 9.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  11. 11.2 × ? + 2 = 8
  12. 12.I think of a number, multiply it by 8 and then add 40. The answer is 248. What is my number?
  13. 13.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 6 and then add 8. The answer is 68. What is my number?
  15. 15.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 6 and then take away 11. The answer is 139. What is my number?
  18. 18.Solve for x: 5(x + 1) = 3x + 13. What is x?
  19. 19.I think of a number, multiply it by 3 and then take away 14. The answer is 76. What is my number?
  20. 20.Solve for x: 7(x + 5) = x + 47. What is x?
  21. 21.3 × ? + 20 = 32
  22. 22.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 4 and then add 33. The answer is 137. What is my number?
  24. 24.I think of a number, multiply it by 6 and then add 33. The answer is 57. What is my number?
  25. 25.Solve for x: 8(x + 8) = x + 99. What is x?
  26. 26.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  29. 29.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 7 and then take away 24. The answer is 81. What is my number?
  32. 32.Solve for x: 3(x + 8) = x + 40. What is x?
  33. 33.I think of a number, multiply it by 9 and then add 10. The answer is 280. What is my number?
  34. 34.Solve for x: 4(x + 3) = 2x + 46. What is x?
  35. 35.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  36. 36.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 9(x + 5) = 8x + 65. What is x?
  38. 38.I think of a number, multiply it by 8 and then add 19. The answer is 139. What is my number?
  39. 39.I think of a number, multiply it by 4 and then add 12. The answer is 108. What is my number?
  40. 40.Solve for x: 7(x + 4) = 2x + 88. What is x?

Answer key

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

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