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?

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 and for general it is

so, we can write

Solving (i) and (ii) we get

So, Balcony ticket costs and general tickets costs

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: