Problema Solution
the family fine arts center charges $22 per adult and $12 per senior citizen for its performances. on a recent weekend evening when 462 people paid admission, the total recipts were $6584. how many who paid were senior citizens?
Answer provided by our tutors
let
x = the number of adult tickets sold
y = the number of senior tickets sold
462 people paid admission => total of 462 tickets were sold and
x + y = 462
the total recipts were $6584
22x + 12y = 6584
by solving the system of equations
x + y = 462
22x + 12y = 6584
we find
x = 104 adult tickets sold
y = 358 senior tickets sold
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358 visitors were senior citizens.