To find out how many cups of pecans are needed to make the trail mix using 1 cup of chocolate chips, we can set up a proportion:
Given:
- 5/4 cups of chocolate chips for every 7/1 cups of pecans.
We're trying to find how many cups of pecans (let's call it \(x\)) correspond to 1 cup of chocolate chips.
Set up the proportion as follows:
\[ \frac{5/4}{7/1} = \frac{1}{x} \]
Cross-multiplying gives:
\[ (5/4) \cdot x = 7 \]
Now, to solve for \(x\):
\[ x = \frac{7}{5/4} \]
Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite it as:
\[ x = 7 \cdot \frac{4}{5} \]
\[ x = \frac{28}{5} \]
\[ x = 5.6 \]
Thus, you will need 5.6 cups of pecans for 1 cup of chocolate chips in your trail mix.
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