A group of boys and girls have a school trip to a zoo. If 3/8 of the group is girls and boys minus girls is 127 what is the total count of children?

Apr 3, 2017

Let total number of children at the zoo be $x$

$\frac{3}{8} t h$ 0f total children being girls, the number of girls are $= \frac{3 x}{8}$ and the numer of boys will be $= x - \frac{3 x}{8} = \frac{5 x}{8}$

By the problem there are 124 boys more than the girls.

So $\frac{5 x}{8} - \frac{3 x}{8} = 124$

$\implies \frac{2 x}{8} = 124$

$\implies x = 124 \times 4 = 496$

Apr 3, 2017

total children count is 496

Explanation:

Let the count of girls be $g$
Let the count of boys be $b$
Let the total count be $t$

Proportion of girls given as $\frac{3}{8}$
This means that the proportion of boys is $1 - \frac{3}{8} = \frac{5}{8}$

Thus $\text{ "b-g" "=" "(5/8-3/8)t" "=" "2/8t" "=" } \frac{1}{4} t$

It is determined that $\text{ } b - g = \frac{1}{4} t = 124$

$t = 4 \times 124 = 496$