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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 618 · 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. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  3. 3.4 × ? − 12 = 80
  4. 4.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  5. 5.Zoya has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 4 and then add 29. The answer is 125. What is my number?
  8. 8.Solve for x: 4(x + 6) = 2x + 58. What is x?
  9. 9.2 × ? − 18 = 18
  10. 10.I think of a number, multiply it by 6 and then add 39. The answer is 153. What is my number?
  11. 11.8 × ? − 23 = 97
  12. 12.3 × ? − 2 = 58
  13. 13.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  16. 16.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 5(x + 6) = x + 86. What is x?
  18. 18.I think of a number, multiply it by 6 and then add 18. The answer is 180. What is my number?
  19. 19.7 × ? − 1 = 118
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  21. 21.Solve for x: 7(x + 9) = 3x + 111. What is x?
  22. 22.Solve for x: 4(x + 6) = x + 78. What is x?
  23. 23.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  24. 24.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  25. 25.9 × ? − 5 = 175
  26. 26.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  28. 28.7 × ? − 2 = 19
  29. 29.A pen costs ₹12 more than a pencil. 6 pens and 3 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 5 and then add 27. The answer is 57. What is my number?
  31. 31.12 × ? − 21 = 159
  32. 32.Solve for x: 4(x + 1) = 2x + 32. What is x?
  33. 33.Solve for x: 3(x + 4) = x + 50. What is x?
  34. 34.2 × ? + 5 = 21
  35. 35.Solve for x: 9(x + 1) = 2x + 114. What is x?
  36. 36.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 6(x + 1) = 3x + 36. What is x?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  39. 39.Solve for x: 3(x + 1) = 2x + 7. What is x?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?

Answer key

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

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