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=((3)/(4))/(5)=(3)/(4)\cdot(1)/(5)=(3)/(20)`

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

`r=(1)/(x)`

Sicnce both are the same, we have:

`\begin{gathered} (3)/(20)=(1)/(x) \\ 3x=20\cdot1 \\ 3x=20 \\ x=(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.