Problema Solution

For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?

Answer provided by our tutors

let


a = the number of adult tickets sold

k = the number of kids tickets sold


80 tickets are sold for a total of $605


a + k = 80


8.50*a + k*6 = 605


by solving the above system of equations we find


a = 50 adult tickets


k = 30 kids tickets


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there were 50 adult tickets and 30 kids tickets sold.