Problema Solution

For a school play they sold tickets at $5 for a floor seat and $2 for a balcony seat. They sold 250 seats and collected $1001 in profit . How Many balcony seats were sold ?

Answer provided by our tutors

Let

x = the number of floor seats

y = the number of balcony seats

x + y = 250

5x + 2y = 1001

........

click here to see the system of equations solved for x and y

........

x = 167 floor seats

y = 73 balcony seats

There were 73 balcony seats sold.