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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 694 · 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 ₹6 more than a pencil. 6 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  2. 2.11 × ? − 3 = 52
  3. 3.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  4. 4.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 3(x + 5) = x + 29. What is x?
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  7. 7.8 × ? − 6 = 122
  8. 8.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 9(x + 6) = 3x + 150. What is x?
  10. 10.I think of a number, multiply it by 4 and then take away 17. The answer is 51. What is my number?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  12. 12.Solve for x: 6(x + 3) = 5x + 25. What is x?
  13. 13.I think of a number, multiply it by 7 and then take away 31. The answer is 151. What is my number?
  14. 14.Solve for x: 8(x + 2) = 7x + 19. What is x?
  15. 15.7 × ? − 15 = 27
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then take away 39. The answer is 61. What is my number?
  18. 18.I think of a number, multiply it by 8 and then take away 18. The answer is 78. What is my number?
  19. 19.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 3 and then add 34. The answer is 100. What is my number?
  21. 21.Solve for x: 7(x + 1) = 5x + 37. What is x?
  22. 22.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 9 and then add 39. The answer is 102. What is my number?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  26. 26.Saanvi has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 2 and then take away 8. The answer is 46. What is my number?
  28. 28.Solve for x: 5(x + 9) = 2x + 57. What is x?
  29. 29.I think of a number, multiply it by 9 and then add 1. The answer is 118. What is my number?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  31. 31.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 6(x + 1) = 2x + 38. What is x?
  33. 33.2 × ? − 6 = 30
  34. 34.I think of a number, multiply it by 9 and then add 18. The answer is 117. What is my number?
  35. 35.11 × ? − 19 = 36
  36. 36.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 6(x + 4) = 3x + 27. What is x?
  38. 38.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 6(x + 8) = 5x + 54. What is x?
  40. 40.Solve for x: 7(x + 6) = x + 108. What is x?

Answer key

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

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