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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 83 · 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.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  2. 2.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  4. 4.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  6. 6.6 × ? − 17 = 19
  7. 7.I think of a number, multiply it by 7 and then add 34. The answer is 83. What is my number?
  8. 8.12 × ? + 10 = 250
  9. 9.Solve for x: 3(x + 6) = x + 28. What is x?
  10. 10.Solve for x: 8(x + 4) = 3x + 77. What is x?
  11. 11.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  13. 13.4 × ? − 4 = 28
  14. 14.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  15. 15.2 × ? + 18 = 28
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  17. 17.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  22. 22.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 9 and then take away 7. The answer is 245. What is my number?
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  26. 26.Solve for x: 5(x + 2) = 2x + 37. What is x?
  27. 27.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 8 and then add 10. The answer is 218. What is my number?
  29. 29.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  31. 31.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 8(x + 1) = 5x + 68. What is x?
  33. 33.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹241 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 16. The answer is 34. What is my number?
  37. 37.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 8 and then take away 31. The answer is 113. What is my number?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?

Answer key

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

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