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.