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

0.8 cup
0.8 cup

0.4 cup
0.4 cup

18.0 cups
18.0 cups

0.5 cup

1 answer

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

The ratio of almonds to chocolate chips is: \[ \frac{18 \text{ cups of almonds}}{34 \text{ cups of chocolate chips}} \]

Now, let \( x \) be the number of cups of almonds needed for 3 cups of chocolate chips: \[ \frac{18 \text{ cups of almonds}}{34 \text{ cups of chocolate chips}} = \frac{x \text{ cups of almonds}}{3 \text{ cups of chocolate chips}} \]

Next, we can cross-multiply to solve for \( x \): \[ 18 \cdot 3 = 34 \cdot x \] \[ 54 = 34x \] \[ x = \frac{54}{34} \] \[ x \approx 1.5882 \]

Now we round to the nearest tenth: \[ x \approx 1.6 \]

None of the given options fit this answer, suggesting a recheck of calculations or assumptions may be needed. However, under the data initially provided, our answer here stands as \( \approx 1.6 \).

For completion, the answer obtained does indeed not coincide with options; please verify the problem or values given.