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Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and$6 for children. One hundred seventy-four adults and children attended, and $1,342 was made in ticket sales. How many children and how many adults went to the film premiere? Mar 10, 2020 ### 2+0 Answers #1 0 174 tix total a = adult tix revenue from adult tix =$ 8a

174-a = c = children tix   revenue from child tix =  $6 (174-a) the revenues summed =$ 1342

8a  + 6 (174-a) = 1342    solve for 'a' the number of adult tix .....    then 174-a = child tix

Mar 10, 2020
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Let's start by assuming that everyone who went to the premiere was an adult ($$174$$ adults and $$0$$ children).Then how much money would Mega Movies have made?

$$174 \cdot 8 = 1392$$.

That is too much, so there must have been some children. For every adult replaced by a child, Mega Movies lost $$2$$ from their total, since a child ticket cost $$2$$ less than an adult ticket.

They lost a total of $$1392 - 1342 = 50$$

$${50 \over 2} = 25$$, so $$25$$ children went to the film premiere.

$$174 - 25 = 149$$, so the answer is:

$$149$$ adults and $$25$$ children.

Catarina 