Problema Solution

Tickets to a production of The Three Musketeers at the CPAC on the SLO campus cost $5.50 for non-students and $3.00 for students. If 325 paid to see a performance and $1487.50 was collected, how many non-students and how many students attended?

Answer provided by our tutors

let


x = the number of non-students that saw the performance

y = the number of students that saw the performance


325 paid to see a performance


x + y = 325


total of $1487.50 was collected


5.50*x + 3*y = 1487.50


by solving the system of equations


x + y = 325

5.50*x + 3*y = 1487.50


we find


x = 205 tickets


y = 120 tickets


205 non-students and 120 students attended.