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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 499 · 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.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹290 in all. What does one pencil cost (in ₹)?
  2. 2.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 9(x + 3) = 3x + 111. What is x?
  4. 4.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 5(x + 9) = x + 57. What is x?
  7. 7.I think of a number, multiply it by 2 and then add 17. The answer is 63. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 3 and then add 4. The answer is 88. What is my number?
  10. 10.Solve for x: 4(x + 8) = 3x + 49. What is x?
  11. 11.I think of a number, multiply it by 6 and then take away 12. The answer is 66. What is my number?
  12. 12.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  13. 13.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 7 and then add 21. The answer is 168. What is my number?
  15. 15.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 8 and then add 6. The answer is 214. What is my number?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  18. 18.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  19. 19.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 7 and then add 39. The answer is 242. What is my number?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 3 and then take away 33. The answer is 15. What is my number?
  23. 23.Solve for x: 3(x + 4) = 2x + 20. What is x?
  24. 24.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 7 and then take away 34. The answer is 29. What is my number?
  26. 26.7 × ? − 2 = 68
  27. 27.9 × ? − 18 = 90
  28. 28.I think of a number, multiply it by 4 and then take away 37. The answer is 31. What is my number?
  29. 29.I think of a number, multiply it by 2 and then add 16. The answer is 42. What is my number?
  30. 30.Solve for x: 6(x + 1) = 5x + 19. What is x?
  31. 31.I think of a number, multiply it by 6 and then add 11. The answer is 149. What is my number?
  32. 32.10 × ? + 5 = 135
  33. 33.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 2 and then add 28. The answer is 46. What is my number?
  35. 35.I think of a number, multiply it by 5 and then take away 5. The answer is 125. What is my number?
  36. 36.Solve for x: 5(x + 7) = 3x + 55. What is x?
  37. 37.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  39. 39.6 × ? − 29 = 85
  40. 40.7 × ? − 3 = 60

Answer key

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

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