To determine how many cups of trail mix Orly will make based on the amount of raisins she uses, we can set up a proportion based on the given ratio of raisins to trail mix.
Orly uses 2 cups of raisins for every 8 cups of trail mix. This can be represented as:
\[ \frac{2 \text{ cups of raisins}}{8 \text{ cups of trail mix}} = \frac{1 \text{ cup of raisins}}{4 \text{ cups of trail mix}} \]
This means that for every 1 cup of raisins, Orly makes 4 cups of trail mix.
Now, if we let \( r \) be the number of cups of raisins used, we can express the amount of trail mix produced as:
\[ \text{Cups of trail mix} = 4 \times r \]
If Orly uses, say, \( r \) cups of raisins (you would fill in the value for \( r \)), she will make:
\[ \text{Cups of trail mix} = 4 \times r \]
Substituting in the value of \( r \) (the number of cups of raisins), you would perform the calculation to find the total number of cups of trail mix produced.
Please provide the specific amount of raisins Orly is using to calculate the exact number of cups of trail mix.
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