Problema Solution

There are 538 tickets sold for a basketball game. the activity cardholders' tickets cost $1.50 and the non- cardholders' tickets cost $2.00. The total amount of money collected was $930.50. How many of each kind of ticket were sold?

Answer provided by our tutors

let


c = the number of activity cardholders' tickets

n = the number of non-cardholders' tickets


there are 538 tickets sold


c + n = 538


the total amount of money collected was $930.50


1.50c + 2n = 930.5


by solving the system of equations


c + n = 538

1.50c + 2n = 930.5


we find


c = 291 tickets


n = 247 tickets


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there were 291 activity cardholders' and 247 non-cardholders' tickets sold.