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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 294 · 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. 1.11 × ? + 20 = 97
  2. 2.Aarav has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  4. 4.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  5. 5.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 2 and then take away 26. The answer is 6. What is my number?
  7. 7.12 × ? + 25 = 157
  8. 8.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  9. 9.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 6 and then take away 30. The answer is 120. What is my number?
  11. 11.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  12. 12.11 × ? − 30 = 80
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 7 and then add 5. The answer is 131. What is my number?
  15. 15.4 × ? − 16 = 72
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  17. 17.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  18. 18.6 × ? − 23 = 13
  19. 19.I think of a number, multiply it by 9 and then add 2. The answer is 173. What is my number?
  20. 20.I think of a number, multiply it by 7 and then add 21. The answer is 196. What is my number?
  21. 21.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 8 and then take away 1. The answer is 55. What is my number?
  23. 23.I think of a number, multiply it by 2 and then add 37. The answer is 89. What is my number?
  24. 24.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 8 and then take away 34. The answer is 54. What is my number?
  26. 26.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 8 and then take away 25. The answer is 175. What is my number?
  28. 28.3 × ? + 25 = 31
  29. 29.Solve for x: 7(x + 7) = 4x + 64. What is x?
  30. 30.5 × ? − 2 = 28
  31. 31.Solve for x: 4(x + 2) = x + 23. What is x?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  33. 33.4 × ? + 26 = 86
  34. 34.I think of a number, multiply it by 5 and then take away 3. The answer is 37. What is my number?
  35. 35.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  38. 38.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 7(x + 3) = x + 33. What is x?
  40. 40.Solve for x: 7(x + 4) = 4x + 34. What is x?

Answer key

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

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