Brandon makes lemon water by adding 3/4 of a cup of sliced leman to 2 cups of water. At this rate, how many cups of sliced leman would he need to add to 12 cups of water?

To make lemon water, Brandon adds 3/4 cups of sliced lemon to 2 cups of water. This ratio can be written as 3/4:2.

To find out how many cups of sliced lemon Brandon would need to add to 12 cups of water, we can set up a proportion.

Let x be the unknown number of cups of sliced lemon:
3/4 cups / 2 cups = x cups / 12 cups

Cross-multiplying the proportion, we get:
2x = 3/4 * 12 cups

Simplifying the right side of the equation:
2x = 9 cups

Dividing both sides of the equation by 2:
x = 9/2 cups or 4.5 cups

Therefore, Brandon would need to add 4.5 cups of sliced lemon to 12 cups of water.