# The equations 5x+2y=48 and 3x+2y=32 represent the money collected from the school concert. If x represents the cost for each adult ticket and y represents the cost for each student ticket, how do you find the cost of each ticket?

Dec 16, 2016

Adult ticket costs $8$ . Student ticket costs $4$

#### Explanation:

$5 x + 2 y = 48 \left(1\right)$
$3 x + 2 y = 32 \left(2\right)$ Subtracting (2) from (1) we get

2x=16 or x=8 ; 2y =48-5x or 2y =48 - 5*8 or 2y=8 or y=4

Adult ticket costs $8$ currency
Student ticket costs $4$ currency [Ans]