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2) In the summer some movie theaters offer
special movie passes for a certain amount
of time. Riverwalk Theater charges $40 for
the movie pass and then an additional
$2.00 per movie ticket. Red Maple Theater
charges $25 for the movie pass and then
an additional $5.00 per movie ticket. For
how many movie tickets will both theaters
cost the same? What will they cost?

Respuesta :

itzamirv2

To find out when both theaters will cost the same, we can set up an equation. Let's represent the number of movie tickets as x.

For Riverwalk Theater:

Total cost = $40 (for the pass) + $2.00 (per ticket) * x

For Red Maple Theater:

Total cost = $25 (for the pass) + $5.00 (per ticket) * x

We set these equal to each other and solve for x:

40 + 2x = 25 + 5x

15 = 3x

x = 5

So, for 5 movie tickets, both theaters will cost the same.

Substituting x = 5 into either equation will give us the cost:

For Riverwalk Theater: 40 + 2 * 5 = $50

For Red Maple Theater: 25 + 5 * 5 = $50

So, for 5 movie tickets, both theaters will cost $50.

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