To determine how many cups of almonds Luis needs for 3 cups of chocolate chips, we have to set up a proportion based on the original recipe.
The original recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips. This relationship can be written as a ratio:
(1/8 cup almonds) / (3/4 cup chocolate chips)
We want to find out how many cups of almonds are needed for 3 cups of chocolate chips, so we can set up the proportion as follows:
(1/8 cup almonds) / (3/4 cup chocolate chips) = (x cup almonds) / (3 cup chocolate chips)
Now we need to solve for x, which represents the cups of almonds needed.
To do this, cross-multiply and solve for x:
(1/8) * 3 = (3/4) * x
(3/8) = (3/4) * x
Now we'll multiply both sides of the equation by the reciprocal of (3/4) to solve for x:
x = (3/8) / (3/4)
x = (3/8) * (4/3)
When we multiply the fractions, the 3s in the numerator and the denominator cancel out:
x = 4 / 8
x = 1 / 2
So, Luis needs 1/2 cup of almonds for 3 cups of chocolate chips.
Rounding to the nearest tenth:
0.5 cup (since 1/2 is equivalent to 0.5)
The correct answer is 0.5 cup of almonds.