Question

Ariana's 150g bag of trail mix is x% raisins. Brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together in one bowl. *write an expression that shows the concentration of raisins in the resulting mix.

Answer 1

`\begin{array} \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{x\% of Ariana's 150g}}{\left( \cfrac{x}{100} \right)150}\implies 1.5x \\\\\\ ~\hspace{10em}\stackrel{\textit{y\% of Brandon's 250g}}{\left( \cfrac{y}{100} \right)250}\implies 2.5y \\\\\\ ~\hspace{10em}\stackrel{\textit{combined concentration of raisins}}{1.5x + 2.5y}`