# If a solution has a 40% mass (in grams)to volume (in milliliters) ratio; what will be the volume corresponding to a mass of 70 grams?

Jun 29, 2016

Solute volume $= \textcolor{b l u e}{175 \text{ milliliters}}$

#### Explanation:

40% mass/volume solution can be thought of as the ratio
$\textcolor{w h i t e}{\text{XXX")(40 " mass units")/(100 " volume units}}$

If the $\text{mass units}$ are $\text{grams}$
and the $\text{volume units}$ are $\text{milliliters}$

then we are looking for a number, $x$, of liters such that
$\textcolor{w h i t e}{\text{XXX")(40 " grams")/(100" milliliters")= (70" grams")/(x" milliliters}}$

color(white)("XXX")rarr x" milliliters"=(70 cancel(" grams"))/(40 cancel(" grams"))xx100" milliliters"

color(white)("XXX")rarr x " milliliters" = 175 " milliliters"