Question

A drama club is selling tickets to a play. The cost of each adult ticket is $8, and the cost of each student ticket is $4. One customer purchased 8 tickets andspent a total of $56. The system of equations shown can be used to model this situation.y = 8 - 28x + 4y = 56Which equation can be used to find 2, the number of adult tickets the customer purchased?O 8 (8 – 2) + 4y = 56O 8x +4(8 - x) = 568.2 + 4y - 56 = 8 - 3

Answer 1

Given the system of equations below, to eliminate y,

`\begin{gathered} y=8-x\text{ (1)} \\ 8x+4y=56\text{ (2)} \\ \text{Substitute 8-x for y into equation (2)} \\ 8x+4(8-x)=56 \end{gathered}`

Hence, the answer is 8x + 4( 8 - x) = 56