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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 976 · 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 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 5 and then add 25. The answer is 95. What is my number?
  4. 4.Solve for x: 6(x + 5) = 5x + 36. What is x?
  5. 5.I think of a number, multiply it by 8 and then take away 7. The answer is 73. What is my number?
  6. 6.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 5(x + 1) = 4x + 14. What is x?
  8. 8.Solve for x: 4(x + 3) = 3x + 17. What is x?
  9. 9.Solve for x: 4(x + 2) = x + 53. What is x?
  10. 10.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  11. 11.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 9 and then add 4. The answer is 175. What is my number?
  13. 13.Solve for x: 6(x + 6) = 2x + 80. What is x?
  14. 14.Farhan has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 9(x + 8) = 4x + 162. What is x?
  16. 16.I think of a number, multiply it by 4 and then take away 4. The answer is 80. What is my number?
  17. 17.I think of a number, multiply it by 9 and then take away 35. The answer is 82. What is my number?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  19. 19.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 5 and then add 3. The answer is 98. What is my number?
  21. 21.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  23. 23.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 7 and then take away 27. The answer is 134. What is my number?
  26. 26.Solve for x: 4(x + 1) = 3x + 17. What is x?
  27. 27.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  29. 29.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  30. 30.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 4(x + 5) = x + 80. What is x?
  32. 32.Solve for x: 7(x + 6) = 6x + 50. What is x?
  33. 33.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  34. 34.7 × ? − 30 = 138
  35. 35.I think of a number, multiply it by 5 and then add 5. The answer is 60. What is my number?
  36. 36.I think of a number, multiply it by 9 and then take away 35. The answer is 1. What is my number?
  37. 37.I think of a number, multiply it by 8 and then add 30. The answer is 110. What is my number?
  38. 38.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?

Answer key

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

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