For matinees,a movie theater charges $7 per adult and $4 per child.if 84 people attended a matinee and paid a total of $432,How many adults and how many children were there .

Question

anonymous · Answer

where x= adults and y = children
eq 1: 432 = 7*x + 4*y
and 
eq 2: 84 = x+y

set y = 84-x, then substitute this y into equation 1

anonymous · Answer

can you solve this for x?
432 = 7*x + 4*(84-x)

anonymous · Answer

lets assume all were child then charge=84*4=$336 but he got $432 
432-336=$96 extra and 7-4=$3 per head extra
96/3=32 adults remaining child