# If 478 people went to the movies and 57 of them were boys and the ratio is 5 boys to every girl, how many girls are there?

Jul 8, 2017

The question seems to contradict itself....

#### Explanation:

If $57$ boys went to the moves and the ratio is $\text{boys:girls} = 5 : 1$, then the number of girls is $57 \div 5 = 11.4$, or just $11$ girls.

But $57 + 11 = 68$ and not $478$

If the total is $478$, then the number of boys will be:

$\frac{5}{6} \times 478 \approx 398$ boys and not $57$ as given.

The question could be answered without the ratio.

Of $478$ people, $57$ are boys, then there are $421$ girls.
(But the ratio does not work)