Problema Solution

a show has a paid attendance of 308 people. back seat tickets cost $38 and front row seats cost $60 the ticket total sales was $15,576 how many tickets of each type were sold?

Answer provided by our tutors

let


x = the number of back seat tickets

y = the number of front row seats


a show has a paid attendance of 308 people. this means a total of 308 tickets was sold that is


x + y = 308


the total cost of of back seat tickets + the total cost of front row seats tickets = total sales of $15,576


38x + 60y = 15576


by solving the system of equations


x + y = 308

38x + 60y = 15576


we find


x = 132


y = 176


there were 176 front row seats tickets and 132 back seat tickets sold.