Question

If the ratio of 6 cookies to 2 glasses of milk is equivalent to the ratio of 12 cookies to a specific number of glasses of milk, then the number of glasses is.

• A. 4

Answer 1

The correct option is A 4
Ratio of 6 cookies to 2 glasses of milk $=6:2=\frac{6}{2}$
Let $n$ be the number of glasses of milk.
$\Rightarrow$ Ratio of $12$ cookies to $n$ glasses of milk $\frac{12}{n}=12:n$
The two ratios are equivalent
$\Rightarrow \frac{6}{2}=\frac{12}{n}$
By cross multiplication
$\Rightarrow 6n=12\times 2$
$\Rightarrow n=4$