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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 262 · 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. 1.3 × ? + 18 = 63
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 9 and then add 9. The answer is 261. What is my number?
  4. 4.Solve for x: 7(x + 7) = 6x + 58. What is x?
  5. 5.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  7. 7.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  8. 8.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  9. 9.10 × ? − 12 = 8
  10. 10.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  11. 11.2 × ? + 12 = 48
  12. 12.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  13. 13.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 2 and then add 29. The answer is 37. What is my number?
  15. 15.Solve for x: 5(x + 3) = 3x + 45. What is x?
  16. 16.I think of a number, multiply it by 5 and then take away 7. The answer is 58. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  20. 20.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 8 and then add 40. The answer is 72. What is my number?
  22. 22.I think of a number, multiply it by 7 and then add 30. The answer is 72. What is my number?
  23. 23.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 5(x + 2) = x + 50. What is x?
  25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 2 and then add 19. The answer is 25. What is my number?
  27. 27.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  30. 30.Ishaan has 29 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  31. 31.9 × ? − 4 = 185
  32. 32.4 × ? − 5 = 59
  33. 33.I think of a number, multiply it by 7 and then take away 11. The answer is 157. What is my number?
  34. 34.I think of a number, multiply it by 9 and then take away 3. The answer is 195. What is my number?
  35. 35.I think of a number, multiply it by 8 and then add 6. The answer is 70. What is my number?
  36. 36.2 × ? + 6 = 48
  37. 37.3 × ? − 11 = 28
  38. 38.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 8(x + 4) = x + 116. What is x?
  40. 40.I think of a number, multiply it by 2 and then add 29. The answer is 61. What is my number?

Answer key

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

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