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:

`(6)/(138)`

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

`(3)/(x)`

By equating both ratios we have the proportion:

`(3)/(x)=(6)/(138)`

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

`\begin{gathered} (3)/(x)=(6)/(138) \\ (3)/(x)=(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.