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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 669 · 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 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  2. 2.9 × ? + 9 = 117
  3. 3.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹298 in all. What does one pencil cost (in ₹)?
  4. 4.7 × ? + 24 = 66
  5. 5.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  6. 6.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 6 and then add 36. The answer is 54. What is my number?
  8. 8.Solve for x: 6(x + 1) = 4x + 12. What is x?
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  10. 10.A pen costs ₹11 more than a pencil. 3 pens and 4 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  11. 11.Aditya has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  13. 13.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  14. 14.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 6(x + 1) = 4x + 20. What is x?
  16. 16.Solve for x: 4(x + 6) = 3x + 30. What is x?
  17. 17.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  18. 18.Meera has 29 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  20. 20.5 × ? − 9 = 81
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  23. 23.Solve for x: 5(x + 4) = x + 32. What is x?
  24. 24.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  25. 25.2 × ? − 19 = 23
  26. 26.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  27. 27.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  31. 31.8 × ? − 24 = 128
  32. 32.12 × ? − 12 = 24
  33. 33.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  37. 37.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  38. 38.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 5(x + 8) = x + 100. What is x?
  40. 40.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?

Answer key

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

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