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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 891 · 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.Solve for x: 7(x + 5) = 6x + 38. What is x?
  2. 2.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  3. 3.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 5 and then add 22. The answer is 127. What is my number?
  5. 5.Solve for x: 3(x + 1) = x + 41. What is x?
  6. 6.Solve for x: 4(x + 5) = 2x + 38. What is x?
  7. 7.I think of a number, multiply it by 7 and then take away 12. The answer is 177. What is my number?
  8. 8.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 7 and then take away 24. The answer is 123. What is my number?
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  11. 11.Solve for x: 7(x + 2) = x + 122. What is x?
  12. 12.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 3 and then take away 19. The answer is 41. What is my number?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 3 and then take away 26. The answer is 46. What is my number?
  16. 16.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹296 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  18. 18.6 × ? − 20 = 112
  19. 19.I think of a number, multiply it by 9 and then take away 35. The answer is 91. What is my number?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  21. 21.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  23. 23.Solve for x: 4(x + 8) = 3x + 49. What is x?
  24. 24.I think of a number, multiply it by 6 and then add 23. The answer is 155. What is my number?
  25. 25.I think of a number, multiply it by 5 and then take away 9. The answer is 36. What is my number?
  26. 26.Priya has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 7(x + 8) = 5x + 60. What is x?
  28. 28.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  29. 29.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹261 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  33. 33.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  34. 34.10 × ? + 18 = 38
  35. 35.Solve for x: 5(x + 5) = x + 93. What is x?
  36. 36.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  38. 38.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹178 in all. What does one pencil cost (in ₹)?

Answer key

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

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