SOLUTION: A theater has 80 seats. On opening night, they sold out, selling adult tickets for $12 each and child tickets for $5 each. If they made a total of $519, how many child tickets we

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A theater has 80 seats. On opening night, they sold out, selling adult tickets for $12 each and child tickets for $5 each. If they made a total of $519, how many child tickets we      Log On


   

Question 412123: A theater has 80 seats. On opening night, they sold out, selling adult tickets for $12 each and child tickets for $5 each. If they made a total of $519, how many child tickets were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a = number of adult tickets sold
c = number of child tickets sold
given:
(1) a+%2B+c+=+80
(2) 12a+%2B+5c+=+519
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Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) 12a+%2B+5c+=+519
(1) -5a+-+5c+=+-400
7a++=+119
a+=+17
And from (1),
(1) a+%2B+c+=+80
(1) 17+%2B+c+=+80
(1) c+=+63
63 child tickets were sold
check answer:
(2) 12a+%2B+5c+=+519
(2) 12%2A17+%2B+5%2A63+=+519
(2) 204+%2B+315+=+519
(2) 519+=+519
OK