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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 907 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  3. 3.Solve for x: 3(x + 3) = x + 49. What is x?
  4. 4.10 × ? − 16 = 94
  5. 5.Solve for x: 6(x + 3) = 5x + 30. What is x?
  6. 6.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  7. 7.4 × ? − 24 = 56
  8. 8.Solve for x: 8(x + 1) = 5x + 50. What is x?
  9. 9.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  10. 10.10 × ? + 10 = 230
  11. 11.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  12. 12.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 9 and then add 10. The answer is 262. What is my number?
  14. 14.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  16. 16.Meera has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  18. 18.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  19. 19.3 × ? + 20 = 35
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  21. 21.8 × ? + 7 = 207
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 9 and then take away 8. The answer is 82. What is my number?
  24. 24.Solve for x: 4(x + 6) = 3x + 43. What is x?
  25. 25.12 × ? + 26 = 230
  26. 26.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹217 in all. What does one pencil cost (in ₹)?
  27. 27.11 × ? − 5 = 160
  28. 28.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  29. 29.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  30. 30.12 × ? + 4 = 160
  31. 31.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  33. 33.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  35. 35.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  36. 36.4 × ? + 28 = 96
  37. 37.7 × ? + 24 = 164
  38. 38.Solve for x: 4(x + 1) = 3x + 17. What is x?
  39. 39.I think of a number, multiply it by 6 and then take away 22. The answer is 80. What is my number?
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?

Answer key

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

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