To determine how many cups of trail mix Orly can make with 12 cups of raisins, we can set up a ratio based on the information given.
From the problem, we know that:
- 2 cups of raisins yields 8 cups of trail mix.
First, we find the ratio of raisins to trail mix:
\[ \frac{2 \text{ cups of raisins}}{8 \text{ cups of trail mix}} = \frac{1}{4} \]
This means for every 1 cup of raisins, Orly makes 4 cups of trail mix.
Now, if she uses 12 cups of raisins, we apply the ratio:
\[ 12 \text{ cups of raisins} \times 4 = 48 \text{ cups of trail mix} \]
Therefore, if Orly uses 12 cups of raisins, she will make 48 cups of trail mix.
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