Problema Solution

120 people attended a concert. The admission fee for children is $5 and $8 for adults. If $708 was collected, how many adults attended the concert?

Answer provided by our tutors

Let

a = the number of adults

c = the number of children

Altogether 120 people attended the concert:

a + c = 120

The total amount of money collected from tickets was $708:

8a + 5c = 708

We have the following system of equations:

a + c = 120

8a + 5c = 708

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a = 36 adults

c = 84 children

36 adults attended the concert.