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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 781 · 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.Solve for x: 6(x + 5) = 5x + 45. What is x?
  2. 2.Zoya has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  3. 3.11 × ? + 21 = 219
  4. 4.Solve for x: 7(x + 7) = 3x + 113. What is x?
  5. 5.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  6. 6.9 × ? − 20 = 61
  7. 7.I think of a number, multiply it by 3 and then take away 8. The answer is 52. What is my number?
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  10. 10.2 × ? − 8 = 8
  11. 11.Solve for x: 8(x + 1) = 6x + 10. What is x?
  12. 12.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 3(x + 2) = 2x + 20. What is x?
  14. 14.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  15. 15.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then add 27. The answer is 152. What is my number?
  18. 18.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 3(x + 8) = x + 36. What is x?
  20. 20.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 4 and then take away 20. The answer is 52. What is my number?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  24. 24.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  26. 26.Solve for x: 8(x + 3) = 5x + 42. What is x?
  27. 27.I think of a number, multiply it by 8 and then take away 13. The answer is 131. What is my number?
  28. 28.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  29. 29.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  31. 31.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  33. 33.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  34. 34.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  35. 35.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 6(x + 4) = 3x + 36. What is x?
  37. 37.I think of a number, multiply it by 2 and then add 39. The answer is 91. What is my number?
  38. 38.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  39. 39.9 × ? + 12 = 102
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?

Answer key

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

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