Alocal dinner theater sells adult tickets for $105 and each children tickets for $ 60 each. for a certain show the theater sells 84 tickets for a total of 7,155. how many of each type of ticket were sold. define the variables for this problem hurry you

The theater sells 47 adult tickets and 37 children tickets

Step-by-step explanation:

Let

x = number of adult tickets sold

y = number of children tickets sold

1. A local dinner theater sells adult tickets for $105 each, then they get $105x selling x adult tickets and each children tickets for $60 each, then they get $60y selling y children tickets.

They make a total of $7,155, so

2. In total, the theater sells 84 tickets, so

3. Express y from the second equation

and substitute it into the first equation:

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step-by-step explanation: