To determine how many cups of trail mix Orly can make with 10 cups of raisins, we first establish the ratio of raisins to trail mix.
Given:
- Orly uses 2 cups of raisins for every 8 cups of trail mix.
This forms a ratio of: \[ \frac{2 \text{ cups of raisins}}{8 \text{ cups of trail mix}} = \frac{1 \text{ cup of raisins}}{4 \text{ cups of trail mix}} \]
From this ratio, we can see that every 1 cup of raisins corresponds to 4 cups of trail mix.
Now, if she uses 10 cups of raisins, we can calculate the corresponding amount of trail mix: \[ 10 \text{ cups of raisins} \times 4 \text{ cups of trail mix per cup of raisins} = 40 \text{ cups of trail mix} \]
Therefore, if Orly uses 10 cups of raisins, she will make 40 cups of trail mix.
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