SOLUTION: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people alltogether and the theater collected $272.00 at the end of the day, how many of them were

Question 167204: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people alltogether and the theater collected $272.00 at the end of the day, how many of them were adults?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets 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 lets combine like terms on either side of the equals sign.

so we have
and c=40-a(24)=
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