Quinn is baking sweet potato pies. The table shows the ratio of cups of sugar to number of pies.

Number of Pies 3 5 9
Cups of Sugar 1 and one half 2 and one half 4 and one half

How many cups of sugar will Quinn need to make 12 pies?
5 and one half cups
6 cups
6 and one half cups
8 cups

To find out how many cups of sugar Quinn will need to make 12 pies, you can set up a proportion.

We know that for 3 pies, Quinn needs 1 and a half cups of sugar.
So, the ratio of cups of sugar to number of pies is 1.5/3 = 0.5 cups of sugar per pie.

Now, we can set up the proportion:

0.5 cups of sugar / 1 pie = x cups of sugar / 12 pies

Cross-multiplying, we get:

0.5x = 12
x = 12 / 0.5
x = 24

Therefore, Quinn will need 24 cups of sugar to make 12 pies.

None of the answer options provided match this result, so either there is an error in the table or the available answer options are incorrect.