Question

3/4 pound of granola fills 5 bags. How many bags do you need to hold 1 pound of granola?

Answer 1

=We can use ratios to calculate this. The ratio of granola to bags should be the same.

So, let's start by calculating the ratio of granola to bags, that is, 3/4 pound to 5 bags:

$r=\frac{\frac{3}{4}}{5}=\frac{3}{4}\cdot\frac{1}{5}=\frac{3}{20}$

This ratio must be the same in the second case, where we have 1 pound to "x" bags:

$r=\frac{1}{x}$

Sicnce both are the same, we have:

$\begin{gathered} \frac{3}{20}=\frac{1}{x} \\ 3x=20\cdot1 \\ 3x=20 \\ x=\frac{20}{3}=6.666\ldots \end{gathered}$

This means that 1 pound of granola will fill 6 bags and about 2/3 of a 7th bag.

That is, we need 7 bags to holt 1 pound of granola.