Agroup of 11 people are going to the movies one saturday. adults' tickets cost $11.50 each and children's tickets cost $7.25 each. if the total cost for admission to the movies is $105.25, how many children attended the movie?

 5

Step-by-step explanation:

Let x be the number of adults and y be the number of children going to the movies one Saturday.

Given : A group of 11 people are going to the movies one Saturday.

Adults' tickets cost $11.50 each and children's tickets cost $7.25 each.

The total cost for admission to the movies is $105.25.

i.e.

Multiply equation (1) by 11.5 , we get

Subtract equation (2) from (3), we get

Put value of y= 5 in (1), we get

Hence, 5 children attends the movie.