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 0.5 cup 0.5 cup 0.4 cup 0.4 cup 18.0 cups
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.