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

80% = 0.8, so it would be:

`S = 0.8(120) = 96`

So, the number of seats filled were 96.

Answer 2

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:

`(120)/(x)=(80)/(100),\\ \\x=(120\cdot 100)/(80).`

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

Now

`x=(120\cdot 100)/(80)=(1200)/(8)=150.`

Answer: at the movie were 150 seats.