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

0.4 cup
0.4 cup

0.8 cup
0.8 cup

0.5 cup .

1 answer

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 original recipe.

The given ratio of almonds to chocolate chips is:

\[ \frac{1.8 \text{ cups of almonds}}{3.4 \text{ cups of chocolate chips}} \]

We can express this as: \[ \frac{1.8}{3.4} \]

Now, we want to find how many cups of almonds \( x \) are needed for 3 cups of chocolate chips:

\[ \frac{1.8}{3.4} = \frac{x}{3} \]

Now we can cross-multiply:

\[ 1.8 \times 3 = 3.4 \times x \]

This simplifies to:

\[ 5.4 = 3.4x \]

Now, to solve for \( x \), divide both sides by 3.4:

\[ x = \frac{5.4}{3.4} \approx 1.588 \]

Rounding this value to the nearest tenth gives us approximately 1.6 cups of almonds.

Therefore:

  • The correct response is not included, which would be approximately 1.6 cups of almonds needed based on the calculation.