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Flauer [41]
3 years ago
7

While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people at the carnival, abou

t how many children are in attendance?
Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

180-n_c

Step-by-step 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.

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