Luis is making chocolate chip cookies. The recipe calls for 1/8 cup of almonds for every 3/4 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)
A. 0.8
B. 0.4
C. 0.5
D. 18.0
To find out how many cups of almonds Luis will need, we need to set up a proportion.
The proportion is:
1/8 cup almonds / 3/4 cup chocolate chips = X cups almonds / 3 cups chocolate chips
Cross-multiply and solve for X:
(1/8) * 3 = (3/4) * X
3/8 = 3/4 * X
Divide both sides by 3/4:
(3/8) / (3/4) = X
(3/8) * (4/3) = X
12/24 = X
X = 1/2 = 0.5 cups of almonds
Therefore, Luis will need 0.5 cups of almonds. The answer is C. 0.5.
To find out how many cups of almonds Luis will need, we can set up a proportion using the given information.
The proportion can be set up as follows:
(1/8 cups of almonds) / (3/4 cups of chocolate chips) = (x cups of almonds) / (3 cups of chocolate chips)
Cross-multiplying, we get:
(1/8) * (3) = (3/4) * (x)
1/8 * 3 = 3/4 * x
3/8 = 3/4 * x
To isolate x, we can multiply both sides of the equation by (4/3):
(3/8) * (4/3) = (3/4) * (x) * (4/3)
12/24 = 12/12 * x
1/2 = x
Therefore, Luis will need 0.5 cups of almonds.
So, the answer is C. 0.5.
To solve this problem, we need to calculate the ratio of almonds to chocolate chips and then use that ratio to find the amount of almonds needed.
The given ratio in the recipe is 1/8 cup of almonds for every 3/4 cup of chocolate chips.
First, let's find the ratio of almonds to chocolate chips by dividing 1/8 by 3/4:
(1/8) / (3/4) = (1/8) * (4/3) = 4/24 = 1/6
So, for every 1 cup of chocolate chips, we need 1/6 cup of almonds.
Now, we need to find out how many cups of almonds are needed for 3 cups of chocolate chips. Since 1 cup of chocolate chips requires 1/6 cup of almonds, we can multiply the number of cups of chocolate chips by the ratio:
3 cups of chocolate chips * (1/6 cup of almonds per 1 cup of chocolate chips) = 3/6 = 1/2 cup of almonds
Rounding to the nearest tenth, we get 0.5 cups of almonds.
Therefore, the correct answer is C. 0.5