+69 Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. How many adult tickets and students tickets were purchased.
I need to see all work for this because I am very confused.
+129852 Let x = number of adults and y be the number of students
So x + y = 8 subtract x from both sides ⇒ y = 8 - x (1)
And number of adults * cost per ticket + number of students * cost per ticket = total cost
So x * 7.25 + y * 5.50 = 52.75 (2)
Sub (1) into (2) and we have
x * (7.25) + ( 8 - x) * 5.50 = 52.75 simplify
7.25x + 44 - 5.50x = 52.75
1.75x + 44 = 52.75 subtract 44 from both sides
1.75 x = 8.75 divide both sides by 1.75
x = 5 adult tickets
And since there were 8 total, the other 3 must be the number of children's tickets
