SOLUTION: tickets to a local movie were sold at $8.00 for adults and $5.00 for students. If 600 tickets were sold for a total of $4116, how many adults tickets were sold?

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Question 1027765: tickets to a local movie were sold at $8.00 for adults and $5.00 for students. If 600 tickets were sold for a total of $4116, how many adults tickets were sold?
Answer by ikleyn(52775) About Me  (Show Source):
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tickets to a local movie were sold at $8.00 for adults and $5.00 for students. If 600 tickets were sold for a total of $4116, how many adults tickets were sold?
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Let "a" be the number of adult tickets sold.
Then the number of student tickets sold is (600-a).

The "value" equation is

8*a + 5*(600-a) = 4116.

Simplify and solve it:

8a + 5*600 - 5a = 4116,

3a + 3000 = 4116,

3a = 4116 - 3000,

3a = 1116,

a = 1116%2F3 = 372.

So, 372 adult tickets were sold.

Then the number of student tickets was 600 - 372 = 228.

Answer. 372 adult tickets and 228 student tickets were sold.