Question

Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.

Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.

Answer 1

9.05

Explanation:

Answer 2

$9.05

Explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75 (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05