Answer:
B
Step-by-step explanation:
given the 2 equations
x + 2y = 82 → (1)
3x + y = 96 → (2)
rearrange (1) expressing x in terms of y, by subtracting 2y from both sides
x = 82 - 2y → (3)
substitute x = 82 - 2y in (2)
3(82 - 2y) + y = 96
246 - 6y + y = 96
246 - 5y = 96 ( subtract 246 from both sides )
- 5y = - 150 ( divide both sides by - 5 )
y = 30
substitute y = 30 into (3) for corresponding value of x
x = 82 - (2 × 30) = 82 - 60 = 22
The cost of a silver ticket is $22 and gold ticket is $30
excess price = $30 - $22 = $8 → B
