Question

While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people at the carnival, about how many children are in attendance?

Answer 1

180-n_c

Explanation:

Given that the ratio of children to adults is 2:1.

Let
`n_c` and
`n_a` be the number of children and adults in the school carnival.

So,
`\frac {n_c}{n_a} = \frac 2 1`

`\Rightarrow n_c = 2 n_a \cdots(i)`

Given that the total number of peoples in the carnival =180

So,
`n_c + n_a = 180`

`\Rightarrow n_a = 180-n_c \cdots(ii)`

Now, from equations (i) and (ii), we have

`n_c = 2(180-n_c) \\\\\Rightarrow n_c = 360 -2 n_c \\\\\Rightarrow n_c +2n_c = 360 \\\\\Rightarrow 3 n_c = 360 \\\\\Rightarrow n_c = 360/3 = 120.`

Hence, the number of children in attendance is 120.