Question

At the movie theater 80% of the seats were filled. This is 120 seats. Choose the expressions that complete each step involved in setting up and solving the proportion that represents the situation.

Answer 1

At the movie theater 80% of the seats were filled. This is 120 seats. Then

120 seats is 80%

x seats is 100%.

Use proportion to find x:

$\dfrac{120}{x}=\dfrac{80}{100},\\ \\x=\dfrac{120\cdot 100}{80}.$

Previous fraction is expression that represents the number of all seats.

Now

$x=\dfrac{120\cdot 100}{80}=\dfrac{1200}{8}=150.$

Answer: at the movie were 150 seats.

Answer 2

80% = 0.8, so it would be:
$S = 0.8(120) = 96$

So, the number of seats filled were 96.