To find out how many cups of almonds Luis will need when using 3 cups of chocolate chips, we can set up a proportion based on the given recipe ratio.
The original ratio is:
- 18 cups of almonds for every 34 cups of chocolate chips.
We can express this as a fraction: \[ \text{Almonds} : \text{Chocolate Chips} = \frac{18}{34} \]
Now, we need to find out how many cups of almonds (let’s call it \( x \)) are needed for 3 cups of chocolate chips:
\[ \frac{x}{3} = \frac{18}{34} \]
To solve for \( x \), we can cross-multiply:
\[ x \cdot 34 = 18 \cdot 3 \]
Calculating the right-hand side: \[ x \cdot 34 = 54 \] Now, divide both sides by 34 to solve for \( x \): \[ x = \frac{54}{34} \approx 1.588 \]
Rounding to the nearest tenth, we get: \[ x \approx 1.6 \]
Looking at the given responses, it appears that the options given do not include 1.6 cups. The closest to what we calculated (1.6) is not present, leading to a possible misunderstanding or error in the options provided.
However, based on the calculation, Luis should need approximately 1.6 cups of almonds for 3 cups of chocolate chips. Would you like to double-check any part of the problem or the provided options?