To find out how many cups of almonds Luis will need when he uses 3 cups of chocolate chips, we can set up a proportion based on the ratio given in the recipe.
The ratio of almonds to chocolate chips is:
\[ \frac{1.8 \text{ cups of almonds}}{3.4 \text{ cups of chocolate chips}} \]
We can set up the proportion as follows:
\[ \frac{1.8}{3.4} = \frac{x}{3} \]
Where \( x \) represents the cups of almonds needed. Now, we can cross-multiply to solve for \( x \):
\[ 1.8 \cdot 3 = 3.4 \cdot x \]
This simplifies to:
\[ 5.4 = 3.4x \]
Now, divide both sides by 3.4 to isolate \( x \):
\[ x = \frac{5.4}{3.4} \approx 1.5882 \]
Rounding to the nearest tenth, \( x \) is approximately 1.6 cups of almonds.
However, let's clarify the proportions with the specific amount used:
The recipe calls for 18 cup of almonds for every 34 cup of chocolate chips. We can find how to convert to the amount of chocolate chips Luis will use:
\[ \frac{18 \text{ almond cups}}{34 \text{ chocolate chips cups}} \text{ or } \frac{18}{34} \approx 0.5294 \]
To find out how many cups of almonds are needed with 3 cups of chocolate chips:
\[ x = 3 \cdot \frac{18}{34} = 3 \cdot 0.5294 \approx 1.5882 \]
Again rounding, we find Luis needs approximately 1.6 cups of almonds.
Given the response options provided, the correct answer in your quiz might not directly correspond. However, the answer calculated shows determination and logic used will indicate needing 1.6 cups of almonds according to the proportions. None of the responses reflects the correct amount needed accurately. Would you like to explore further?
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