# Question #152d2

Apr 16, 2017

See the entire solution process below:

#### Explanation:

First, let's call the amount of flour that will be needed: $f$

We can write the rations as:

$7 : 6 \to 650 : f$ or

$\frac{7}{6} = \frac{650}{f}$ or

$\frac{6}{7} = \frac{f}{650}$

Now, multiply each side of the equation by $\textcolor{red}{650}$ to solve for $f$ while keeping the equation balanced:

$\textcolor{red}{650} \times \frac{6}{7} = \textcolor{red}{650} \times \frac{f}{650}$

$\frac{3900}{7} = \cancel{\textcolor{red}{650}} \times \frac{f}{\textcolor{red}{\cancel{\textcolor{b l a c k}{650}}}}$

$557 = f$

Russ will 557 mg of flour rounded to the nearest mg.