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: Balcony tickets are $57, and general admission is $21.

Explanation:

The other guy is wrong, I just put in his answer, said it was wrong and IXL showed me the right one.

Answer 2

Answer:
`\$55\ and\ \$20`

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`