SOLUTION: The Little Town Fine Arts Center carges $20 per adult and $15 per senior citizen for its performances. On a recent weekend evening when 493 people paid admission, the total receipt

Question 514428: The Little Town Fine Arts Center carges $20 per adult and $15 per senior citizen for its performances. On a recent weekend evening when 493 people paid admission, the total receipts were &8210. How many who paid were senior citizens?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of adults
Let = number of seniors
given:
(1)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
330 were seniors
check answer:
(2)
(2)
(2)
(2)
OK

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