Problema Solution

A community center sells a total of 298 tickets for a baseball game. An adult ticket costs $5. A student ticket costs $1. The sponsors collect $682 in ticket sales. FInd the number of each type of ticket sold.

Answer provided by our tutors

let


a = the number of adult tickets sold


s = the number of student tickets sold


A community center sells a total of 298 tickets for a baseball game:


a + s = 298


An adult ticket costs $5. A student ticket costs $1. The sponsors collect $682 in ticket sales:


5a + s = 682


by solving the system of equations:


a + s = 298


5a + s = 682


we find:


a = 96 adult tickets


s = 202 student tickets


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there were 96 adult and 202 student tickets sold.