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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 509 · 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.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 3 and then take away 7. The answer is 62. What is my number?
  4. 4.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  5. 5.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 6 and then take away 1. The answer is 29. What is my number?
  8. 8.10 × ? − 1 = 69
  9. 9.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  11. 11.9 × ? − 26 = 82
  12. 12.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  15. 15.Solve for x: 9(x + 6) = 2x + 152. What is x?
  16. 16.Solve for x: 8(x + 1) = 3x + 103. What is x?
  17. 17.I think of a number, multiply it by 2 and then add 4. The answer is 12. What is my number?
  18. 18.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 3 and then add 34. The answer is 52. What is my number?
  20. 20.Solve for x: 4(x + 9) = 2x + 72. What is x?
  21. 21.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  22. 22.8 × ? − 18 = 142
  23. 23.9 × ? − 1 = 152
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  25. 25.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  26. 26.Tara has 19 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  27. 27.3 × ? − 1 = 65
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  29. 29.8 × ? − 21 = 27
  30. 30.Solve for x: 4(x + 4) = x + 25. What is x?
  31. 31.I think of a number, multiply it by 2 and then add 18. The answer is 52. What is my number?
  32. 32.11 × ? + 28 = 83
  33. 33.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  35. 35.3 × ? + 30 = 99
  36. 36.I think of a number, multiply it by 7 and then take away 6. The answer is 43. What is my number?
  37. 37.I think of a number, multiply it by 5 and then add 38. The answer is 163. What is my number?
  38. 38.I think of a number, multiply it by 2 and then take away 23. The answer is 15. What is my number?
  39. 39.I think of a number, multiply it by 6 and then take away 39. The answer is 75. What is my number?
  40. 40.4 × ? + 1 = 81

Answer key

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

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