# Chef had to fill up 2 1/4 containers with mashed potatoes. He ended up using 3 1/2 pounds of mashed potatoes. How many pounds would he use id he had to fill up 3 containers?

Jun 12, 2017

See a solution process below:

#### Explanation:

First, convert:

$2 \frac{1}{4}$ to $2.25$

$3 \frac{1}{2}$ to $3.5$

We can now write this problem as a ratio:

$3.5$ pounds $\to 2.25$ contains $: p \to 3$ containers

We can now write this as an equation and solve for $p$ pounds:

$\frac{p}{3} = \frac{3.5}{2.25}$

$\textcolor{red}{3} \times \frac{p}{3} = \textcolor{red}{3} \times \frac{3.5}{2.25}$

$\cancel{\textcolor{red}{3}} \times \frac{p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} = \frac{10.5}{2.25}$

$p = 4. \overline{6}$

$4. \overline{6} = 4 \frac{2}{3}$

Chef would need $4 \frac{2}{3}$ pounds of potatoes to fill 3 containers