Word problem... More than 1 answer

Question

Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. There were 240 tickets sold for a total of $1,155.00.

a.) Write a system of equations to model the situation

b.) Solve the system to find the number of adult tickets sold and the number of student tickets sold.

c.) Explain the method you used to solve the system.

thanks for the help!

Answer 1

x+y=240....or y=240-x

6*x+4.5*y=1,155

6x+4.5*(240-x)=1155

6x-4.5x+1080=1155

1.5x=1155 -1080....75

x=75/1.5

x=50

y=240-x...240-50

y=190

chek...6x+4.5y=6*50 +4.5*190...300+855=1155