Problema Solution
University Theater sold 498 tickets for a play. Tickets cost $20 per adult and $10 per senior citizen. If total receipts were $6650, how many senior citizen tickets were sold.
Answer provided by our tutors
let
s = the number of senior citizen tickets sold
a = the number of adult tickets sold
University Theater sold 498 tickets for a play
a + s = 498
a = 498 - s
Tickets cost $20 per adult and $10 per senior citizen. Total receipts were $6650.
20a + 10s = 6650
plug a = 498 - s into the last equation
20(498 - s) + 10s = 6650
by solving we find
s = 331 senior tickets
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there were 331 senior tickets sold.