Brandon makes lemon water by adding 3/4 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?(2 points)

Question

Responses

1 1/2 cups
1 7/8 cups

4 1/2cups
3/8cups

Answer 1

To find the amount of sliced lemon needed to add to 12 cups of water, we can set up a proportion.

The ratio of sliced lemon to water in the first scenario is 3/4 cup of sliced lemon to 2 cups of water.

Let x be the unknown amount of sliced lemon needed to add to 12 cups of water.

So the ratio in the second scenario would be x cups of sliced lemon to 12 cups of water.

We can set up the proportion:
(3/4) / 2 = x / 12

Cross multiplying, we get:
4x = (3/4) * 12
4x = 9
x = 9/4 = 2.25

Therefore, he would need to add 2.25 cups of sliced lemon to 12 cups of water, which can also be written as 2 1/4 cups of sliced lemon.

So the correct answer is:
2 1/4 cups