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mhanifa

Answer:

Question 1

  • Let number of adult tickets - x, student tickets - y

Required equations:

  • x + y = 8
  • 7.25x + 5.50y = 52.75

Solve by substitution x = 8 - y

  • 7.25(8 - y) + 5.50y = 52.75
  • 58 - 7.25y + 5.50y = 52.75
  • 1.75y = 5.25
  • y = 5.25/1.75
  • y = 3

Find x:

  • x = 8 - 3 = 5

Answer: 5 adults and 3 students

Question 2

  • Pair of gloves costs- x, hats cost- y

Equations:

  • 2x + 4y = 43
  • 2x + 2y = 30

Solve by elimination, subtract the equations:

  • 2y = 43 - 30
  • 2y = 13
  • y = 6.5

Find x:

  • 2x = 30 - 13
  • 2x = 17
  • x = 8.5

Answer: Gloves cost $8.5, hats cost $6.5

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