Question

Four out of every five teenagers surveyed went to a movie theater in the past month. If 95 teenagers were surveyed, how many had gone to the movies in the past month?

Answer 1

76 teenagers went to movies in the past month.

Explanation:

The number of teens who went to movie out of every 5 teens = 4

Total teens surveyed = 95

Let, out of 95 teenagers , the teens who went to movie = m

So, the ratio of people who went : who were surveyed = 4: 5

Now, BY THE LAW OF RATIO AND PROPORTIONALITY

`(4)/(5)  = (m)/(95)`

or,
`m = (95 * 4)/(5)  = ( 380)/(5) = 76`

So, m = 76

⇒ 76 teenagers went to movies in the past month.