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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 687 · 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.I think of a number, multiply it by 5 and then add 40. The answer is 140. What is my number?
  2. 2.Solve for x: 8(x + 7) = 5x + 110. What is x?
  3. 3.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
  4. 4.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  5. 5.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 7(x + 8) = 2x + 76. What is x?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 2 and then add 19. The answer is 43. What is my number?
  9. 9.Solve for x: 6(x + 8) = 4x + 60. What is x?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  11. 11.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  12. 12.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 4 and then add 5. The answer is 29. What is my number?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  17. 17.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 4 and then add 30. The answer is 62. What is my number?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  21. 21.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 7 and then add 40. The answer is 229. What is my number?
  23. 23.Zoya has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  26. 26.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  27. 27.11 × ? − 10 = 111
  28. 28.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  29. 29.10 × ? + 1 = 151
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  31. 31.12 × ? − 7 = 281
  32. 32.Solve for x: 4(x + 6) = x + 57. What is x?
  33. 33.I think of a number, multiply it by 6 and then add 24. The answer is 96. What is my number?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  35. 35.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  38. 38.Solve for x: 8(x + 1) = 7x + 26. What is x?
  39. 39.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  40. 40.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?

Answer key

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

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