Problema Solution

Mark sold 500 tickets for the school play. Student tickets cost $2 and adult tickets cost $3. Marks sales totaled $1271. How many adult tickets and how many student tickets did mark sell?

Answer provided by our tutors

let


a = the number of adult tickets sold

s = the number of student tickets sold


Mark sold 500 tickets for the school play:


a + s = 500


Student tickets cost $2 and adult tickets cost $3. Marks sales totaled $1271:


3a + 2s = 1271


by solving the system of equations:


a + s = 500

3a + 2s = 1271


we find


a = 271 adult tickets


s = 229 student tickets


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