Question

The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 33 balcony tickets and 28 general admission floor tickets for Friday's show, for a total of $2,375 in receipts. For Saturday's show, 87 balcony tickets and 80 general admission floor tickets have been sold, equaling $6,385 in receipts. How much does each ticket cost?

Answer 1

Answer: $\ 55\ and\ \ 20$

Step-by-step explanation:

Given

For Friday show 33 balcony and 28 general tickets are sold

For the Saturday show 87 balcony and 80 general

Suppose the price of a balcony ticket is $\ x$ and for general it is $\ y$

so, we can write

$33x+28y=2375\quad \ldots(i)\\87x+80y=6385\quad \ldots(ii)$

Solving (i) and (ii) we get

$x=55\ and\ y=20$

So, Balcony ticket costs $\ 55$ and general tickets costs $\ 20$