Problema Solution

If 105 people attended a concert and tickets for adults costs $2.50 while tickets for children cost $1.75 and total receipts for the concert were $228, how many children and how many adults went to the concert?

Answer provided by our tutors

let


c = the number of children that went to the concert

a = the number of adults that went to the concert


105 people attended the concert


a + c = 105


total receipts for the concert were $228


2.50a + 1.75c = 228


by solving the system of equation


a + c = 105

2.50a + 1.75c = 228


we find


a = 59 adults


c = 46 children


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46 children and 59 adults went to the concert.