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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 929 · 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.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹139 in all. How many ₹5 coins are there?
  2. 2.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  4. 4.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  5. 5.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 6(x + 5) = 4x + 44. What is x?
  7. 7.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  9. 9.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 9(x + 9) = 3x + 117. What is x?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 8 and then take away 22. The answer is 50. What is my number?
  13. 13.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  14. 14.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 5 and then take away 16. The answer is 9. What is my number?
  17. 17.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 6(x + 3) = 4x + 34. What is x?
  19. 19.I think of a number, multiply it by 3 and then take away 10. The answer is 53. What is my number?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  21. 21.10 × ? + 5 = 175
  22. 22.5 × ? + 21 = 121
  23. 23.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 8 and then add 16. The answer is 168. What is my number?
  25. 25.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 9(x + 1) = x + 161. What is x?
  27. 27.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 4 and then add 16. The answer is 116. What is my number?
  30. 30.Solve for x: 6(x + 7) = 2x + 122. What is x?
  31. 31.I think of a number, multiply it by 6 and then add 5. The answer is 83. What is my number?
  32. 32.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  33. 33.6 × ? − 19 = 5
  34. 34.Solve for x: 9(x + 4) = 3x + 72. What is x?
  35. 35.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then add 33. The answer is 51. What is my number?
  37. 37.Solve for x: 9(x + 7) = 2x + 182. What is x?
  38. 38.Solve for x: 9(x + 9) = 4x + 106. What is x?
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  40. 40.Solve for x: 3(x + 6) = 2x + 22. What is x?

Answer key

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

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