Question

erica would like to bake an 3-pound roast for a family gathering. the cookbook tells her to bake a 6-pound roast for 138 minutes. create and solve a proportion that would allow erica to cook her 3-pound roast.

Answer 1

We know that we need to bake 6 pound for 138 minutes, then we have the proportion:

$\frac{6}{138}$

Let x be the time we need to bake the 3 pound roast, in this case we have the proportion:

$\frac{3}{x}$

By equating both ratios we have the proportion:

$\frac{3}{x}=\frac{6}{138}$

Now, by simplifying the right side of the proportion we have that:

$\begin{gathered} \frac{3}{x}=\frac{6}{138} \\ \frac{3}{x}=\frac{3}{69} \end{gathered}$

For this proportion to be equal we need that x=69, therefore we need to cook the 3 pound roast for 69 minutes.