Question

a movie theater charges $8 for adults and $5 for children. If there were 40 people altogether and theater collected $272

Answer 1

Answer: You can put this solution on YOUR website!

let's call the number of adults a and the number of children c.

so the total adults plus the total children equals 40 or a+c=40 or c=40-a

also we know that 8a+5c=272

substituting c's value in the 1st equation into the 2nd equation we get

8a+5(40-a)=272---->lets distribute that left side---->8a+200-5a=272

now let's combine like terms on either side of the equals sign.

3a=72 a=24

so we have highlight%2824-adults%29

and c=40-a(24)=highlight%2816-children%29