Question

Karen has 3.5 quarts of chocolate milk and drinks 20% of it how many liters of chocolate milk does she drink

Answer 1

hmmm well, let's firstly convert both units to the same type, since we have imperial and metric here, so hmmm let's convert the 3.5 quarts in imperial to metric liters, so hmmm we know there are 1.06 quarts in 1 liter, how many liters in 3.5 quarts?

`\begin{array}{ccll} liter&quart\\ \cline{1-2} 1&1.06\\ x&3.5 \end{array}\implies \cfrac{1}{x}=\cfrac{1.06}{3.5}\implies 3.5=1.06x\implies \cfrac{3.5}{1.06}=x`

now, how much is 20% of that?

`\begin{array}c \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of }(3.5)/(1.06)}{\left( \cfrac{20}{100} \right)\cfrac{3.5}{1.06}}\qquad \approx \qquad \stackrel{liters}{0.66}`