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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 504 · 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 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  2. 2.Rohan has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 9(x + 2) = 3x + 138. What is x?
  4. 4.I think of a number, multiply it by 3 and then take away 39. The answer is 6. What is my number?
  5. 5.Solve for x: 7(x + 6) = 6x + 50. What is x?
  6. 6.7 × ? + 17 = 45
  7. 7.Solve for x: 3(x + 7) = x + 39. What is x?
  8. 8.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  9. 9.Solve for x: 9(x + 1) = 2x + 142. What is x?
  10. 10.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  12. 12.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹23 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 3(x + 1) = x + 27. What is x?
  16. 16.I think of a number, multiply it by 3 and then add 34. The answer is 112. What is my number?
  17. 17.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 9 and then take away 4. The answer is 257. What is my number?
  19. 19.10 × ? + 3 = 123
  20. 20.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 4(x + 9) = 2x + 38. What is x?
  22. 22.I think of a number, multiply it by 6 and then take away 1. The answer is 11. What is my number?
  23. 23.2 × ? + 15 = 23
  24. 24.12 × ? − 15 = 201
  25. 25.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 6 and then add 12. The answer is 168. What is my number?
  27. 27.Farhan has 27 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 9 and then take away 5. The answer is 76. What is my number?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  30. 30.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 7(x + 9) = 3x + 87. What is x?
  32. 32.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 3 and then add 36. The answer is 126. What is my number?
  34. 34.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  36. 36.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  37. 37.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 6 and then take away 2. The answer is 154. What is my number?
  39. 39.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 6(x + 7) = 4x + 62. What is x?

Answer key

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

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