3) A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75
3 adult tickets and 2 child tickets cost $33.00
Let A represent the cost of 1 adult ticket, and C represent the cost of 1 child ticket.
Which system of equations can be used to determine the cost of each type of ticket?
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option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have