SOLUTION: Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 370 tickets were sold for a total of $1415.00, how many adult tickets were sold?

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Question 1027525: Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 370 tickets were sold for a total of $1415.00, how many adult tickets were sold?
Answer by ikleyn(52786) About Me  (Show Source):
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Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 370 tickets were sold for a total of $1415.00, how many adult tickets were sold?
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Let "a" be the number of adult tickets sold.
Then the number of student tickets sold is (370-a).

The "value" equation is

5*a + 3.5*(370-a) = 1415.

Simplify and solve it:

5a + 3.5*370 - 3.5a = 1415,

1.5a + 1295 = 1415,

1.5a = 1415 - 1295,

1.5a = 120,

a = 120%2F1.5 = 80.

So, 80 adult tickets were sold.

Then the number of student tickets was 370 - 80 = 290.

Answer. 80 adult tickets and 290 student tickets were sold.