Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon would he need to add to 12 cups of water?

4 1/2 cups

Step-by-step explanation:

First find the number of cups of sliced lemon added per cup of water by finding the unit rate. To find the unit rate, divide the cups of sliced lemon by the cups of water. To divide the numbers, write both numbers as fractions with a common denominator and divide the numerators.

So, Brandon adds  of a cup of sliced lemon to one cup of water.

Next, find the number of cups of sliced lemon Brandon would add to 12 cups of water by multiplying the unit rate, , by 12 cups.

So, Brandon would add  cups of sliced lemon to 12 cups of water.

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x