Problema Solution

the admission price at a theater is $2.50 for adults and $1.25 for childern. 700 people went to the theater for a concert and $1375 was collected. How many adults and how many childern attended the concert?

Answer provided by our tutors

let


a = the number of adults that attended the concert


c = the number of children that attended the concert


700 people went to the theater for a concert:


a + c = 700


$1375 was collected:


2.50a + 1.25c = 1375


by solving the system of equations:


a + c = 700


2.50a + 1.25c = 1375


we find:


a = 400 adults


c = 300 children


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400 adults and 300 children attended the concert.