SOLUTION: Prom tickets cost $50 for singles and $75 for couples. If $4000 is bought and 100 people attended how many tickets of each type were sold?

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Question 156488: Prom tickets cost $50 for singles and $75 for couples. If $4000 is bought and 100 people attended how many tickets of each type were sold?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
s+2c=100
s=100-2c
50s+75c=4,000
50(100-2c)+75c=4,000
5,000-100c+75c=4,000
-25c=4,000-5,000
-25c-1,000
c=-1,000/-25
c=40 number of couple tickets.
100-2*40=100-80=20 single tickets.
Proof:
50*20+75*40=4,000
1000+3,000=4,000
4,000=4,000