Problema Solution

Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were 6 times as many general admission sold as there were kids' tickets, and total receipts were $7750, how many of each type of ticket were sold?

Answer provided by our tutors

let


g = the number of general admission tickets sold

k = the number of kids tickets sold


there were 6 times as many general admission sold as there were kids' tickets


g = 6k


total receipts were $7750


2.50g + 0.5k = 7750


by solving the system of equations


g = 6k

2.50g + 0.5k = 7750


we find


g = 3000 tickets


k = 500 tickets


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there were 3000 general admission and 500 kids tickets sold.