A group of 11 people are going to the movies one Saturday. Adult tickets cost $12.50 each and child tickets cotst $7.75 each. If the total cost for admission to the movies is $109.00, how many children attented the movie?
x= number of children Price = 7.75 x
11-x = number of adults Price = 12.5(11-x)
Two prices added together = 109
7.75x + 12.5(11-x) = 109
7.75x + 137.5 - 12.5x = 109
-4.75x = - 28.5
x= #children = 6