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?

Respuesta :

Answer:

180-n_c

Step-by-step explanation:

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

Let [tex]n_c[/tex] and [tex]n_a[/tex] be the number of children and adults in the school carnival.

So, [tex]\frac {n_c}{n_a} = \frac 2 1[/tex]

[tex]\Rightarrow n_c = 2 n_a \cdots(i)[/tex]

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

So, [tex]n_c + n_a = 180[/tex]

[tex]\Rightarrow n_a = 180-n_c \cdots(ii)[/tex]

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

[tex]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.[/tex]

Hence, the number of children in attendance is 120.

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE