# The ratio ofthe volume of milk to that of milk coffee in a cup of cappuccino is 2 : 5. How would you find the volume of the coffee in a cup of cappuccino if 150 mL of milk is used?

Aug 2, 2017

$525$ $\text{mL}$ coffee

#### Explanation:

(I'm assuming that the "milk coffee" is different from the "coffee" itself.)

$\text{milk"/"milk coffee} = \frac{2}{5}$

Let $x$ be the volume of the milk coffee.

$\frac{2}{5} = \frac{150 \text{mL}}{x}$

$2 x = 5 \cdot 150$

$2 x = 750$

$x = \frac{750}{2}$

$x = 375$

So, there is $375$ $\text{mL}$ of milk coffee in the cup.

Add this to the volume of milk:

$375$ $\text{mL}$ milk coffee + $150$ $\text{mL}$ milk $= 525$ $\text{mL}$ coffee