To find out how many cups of almonds Luis will need if he uses 3 cups of chocolate chips, we can set up a proportion based on the original recipe.
The original ratio of almonds to chocolate chips is:
\[ \frac{18 \text{ cups of almonds}}{34 \text{ cups of chocolate chips}} \]
We can set up the following proportion to find the amount of almonds (let's call it \( x \)) needed for 3 cups of chocolate chips:
\[ \frac{18}{34} = \frac{x}{3} \]
Now, we can cross-multiply to solve for \( x \):
\[ 18 \times 3 = 34 \times x \]
\[ 54 = 34x \]
Next, solve for \( x \):
\[ x = \frac{54}{34} \]
Calculating that gives:
\[ x = \frac{54}{34} \approx 1.5882 \]
Rounding to the nearest tenth, we get:
\[ x \approx 1.6 \]
Since this option is not available in the responses, re-evaluating, we look at the ratios again for accuracy. The amount of almonds needed per cup of chocolate chips is:
\[ \frac{18}{34} \approx 0.529 \]
If we multiply that by 3 cups of chocolate chips:
\[ 0.529 \times 3 \approx 1.588 \]
Thus, the needed value is indeed around 1.6 cups of almonds.
Based on the given options, it appears that none match closely as the expected answer. The calculation stands that Luis needs approximately 1.6 cups of almonds when using 3 cups of chocolate chips.
None of the responses (0.4, 18.0, 0.5, 0.8) are correct for this scenario based on direct calculation. However, if rounded to nearest choices, 0.5 can be considered as lower estimate.
If needing to choose the closest available options amongst those presented, one could indicate 0.5.
1 answer