Question

5.Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchas8 tickets for $52.75. How many adult tickets and student tickets were purchased?

Answer 1

In this problem we have two conditions, the fisrt one is:

$A+S=8$

so the number of tickest for adults (A) and the number of tickest for students (S) must be equal to 8

now the secon condition says that :

$7.25A+5.50S=52.75$

the total cost of the tickets must be equal to 52.75

So we solve the first equation for A so:

$A=8-S$

and we replace that in the secon equation so:

$2.25(8-S)+5.50S=52.75$

and we solve for S so:

$undefined$