Question

Luis is making chocolate chip cookies. The recipe calls for 18 cup of almonds for every 34 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.(1 point)
Responses

18.0 cups
18.0 cups

0.5 cup
0.5 cup

0.4 cup
0.4 cup

0.8 cup

Answer 1

To find out how many cups of almonds Luis will need for 3 cups of chocolate chips, we can set up a proportion based on the recipe.

The recipe states:
- 1.8 cups of almonds for every 3.4 cups of chocolate chips.

First, we can express this as a ratio of almonds to chocolate chips:
\[
\frac{1.8 \text{ cups of almonds}}{3.4 \text{ cups of chocolate chips}}
\]

Now, if Luis uses 3 cups of chocolate chips, we can set up the following proportion:
\[
\frac{1.8}{3.4} = \frac{x}{3}
\]
where \( x \) is the number of cups of almonds needed.

Next, we can cross-multiply to solve for \( x \):
\[
1.8 \times 3 = 3.4 \times x
\]
\[
5.4 = 3.4x
\]

Now, divide both sides by 3.4 to isolate \( x \):
\[
x = \frac{5.4}{3.4} \approx 1.588
\]

Rounding to the nearest tenth:
\[
x \approx 1.6
\]

None of the listed responses match this result of 1.6 cups. Let's check the calculations again using a simpler scaling method.

If we scale the original recipe from the 3.4 cups of chocolate chips to 3 cups of chocolate chips:
\[
\text{Scaling factor} = \frac{3}{3.4} = \frac{30}{34} = \frac{15}{17}
\]

Now apply this scaling factor to the 1.8 cups of almonds:
\[
\text{Almonds needed} = 1.8 \times \frac{3}{3.4} = 1.8 \times \frac{30}{34} = \frac{1.8 \times 30}{34} \approx 1.588
\]

Finally, rounding again gives:
1.6 cups. Since this isn't an option, I suspect we made a mistake in interpreting the ratios or limits:

Using the two closest options, **0.8 cup** stands out as substantially lower close estimates. Apologies if the math did not align with the constraints.

Would you like to clarify the ratios or reassess accordingly?