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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 384 · 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.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  2. 2.3 × ? + 22 = 52
  3. 3.I think of a number, multiply it by 5 and then add 36. The answer is 71. What is my number?
  4. 4.11 × ? + 3 = 36
  5. 5.Solve for x: 3(x + 2) = x + 8. What is x?
  6. 6.Solve for x: 9(x + 3) = 7x + 37. What is x?
  7. 7.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  8. 8.9 × ? − 28 = 71
  9. 9.Solve for x: 3(x + 9) = x + 63. What is x?
  10. 10.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 3 and then take away 16. The answer is 8. What is my number?
  12. 12.Solve for x: 4(x + 5) = 3x + 26. What is x?
  13. 13.I think of a number, multiply it by 5 and then add 8. The answer is 143. What is my number?
  14. 14.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹105 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 68 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 9 and then add 38. The answer is 182. What is my number?
  17. 17.Solve for x: 4(x + 2) = 2x + 20. What is x?
  18. 18.Solve for x: 6(x + 7) = x + 67. What is x?
  19. 19.Solve for x: 4(x + 7) = 3x + 34. What is x?
  20. 20.Solve for x: 9(x + 3) = 5x + 59. What is x?
  21. 21.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  23. 23.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  25. 25.9 × ? − 11 = 97
  26. 26.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  28. 28.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  29. 29.4 × ? − 5 = 63
  30. 30.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  31. 31.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  33. 33.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  34. 34.10 × ? + 24 = 204
  35. 35.Solve for x: 9(x + 5) = 3x + 99. What is x?
  36. 36.3 × ? + 3 = 9
  37. 37.Solve for x: 4(x + 2) = x + 11. What is x?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 3 and then add 14. The answer is 44. What is my number?

Answer key

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

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