SOLUTION: Adriana sold 50 tickets total, 30 student tickets and 20 adult tickets. If a student tick cost 3/4 of an adult ticket, and Adriana collected $212.50 total, how much does a student

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Adriana sold 50 tickets total, 30 student tickets and 20 adult tickets. If a student tick cost 3/4 of an adult ticket, and Adriana collected $212.50 total, how much does a student       Log On


   

Question 804818: Adriana sold 50 tickets total, 30 student tickets and 20 adult tickets. If a student tick cost 3/4 of an adult ticket, and Adriana collected $212.50 total, how much does a student ticket cost?
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = price of a student ticket
Let +a+ = price of an adult ticket
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(1) +s+=+%283%2F4%29%2Aa+
(2) +30s+%2B+20a+=+212.5+
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By substitution:
(2) +30%2A%28+%283%2F4%29%2Aa+%29+%2B+20a+=+212.5+
(2) +%2890%2F4%29%2Aa+%2B+%2880%2F4%29%2Aa+=+212.5+
(2) +%28170%2F4%29%2Aa+=+212.5+
(2) +a+=+%28+2%2F85+%29%2A212.5+
I misplaced my calculator- you can finish
Then find +s+


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
s=3/4a,
30s+20a=212.50
a=5.00, s=3.75