Problema Solution

there were 735 tickets sold for a basketball game.activity cardholders tickets cost $1.25. nonticket cardholders cost $2.00. Total amount collected was $121200. How many of each kind of ticket were sold?

Answer provided by our tutors

let


a = the number of activity cardholders tickets

n = the number of non-ticket cardholders tickets


there were 735 tickets


a + n = 735


total amount collected was $1212.00


1.25*a + 2.00*n = 1212


by solving the system of equations


a + n = 735

1.25*a + 2.00*n = 1212


we find


a = 344 tickets


n = 391 tickets


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there were 344 activity cardholders tickets and 391 non-ticket cardholders tickets sold.