Brandon makes lemon water by adding 3/4 of sliced lemon 2 cups of water at this rate. How many cups of sliced lemon would he need to add to 12 cups of water?
A. 1 1/2
B. 1 7/8
C. 4 1/2
D. 3/8
To determine the answer to this problem, we need to set up a proportion.
We know that when Brandon adds 3/4 of a sliced lemon to 2 cups of water, the ratio is 3/4:2.
We want to find out how many cups of sliced lemon Brandon would need to add to 12 cups of water. This would be a ratio of x/12.
Setting up the proportion, we have:
(3/4) / 2 = x / 12
To solve for x, we cross multiply:
(3/4) * 12 = 2 * x
Simplifying, we have:
9 = 2x
Dividing both sides by 2, we find:
x = 9/2 = 4 1/2
Therefore, Brandon would need to add 4 1/2 cups of sliced lemon to 12 cups of water, so the answer is C. 4 1/2.