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To determine the number of cups of sliced lemon Brandon needs to add to 12 cups of water, we need to set up a proportion.
The ratio of cups of sliced lemon to cups of water is constant. So, we can set up the following proportion:
3/4 / 2 = x / 12
Cross-multiplying, we get:
2x = 3/4 * 12
2x = 36/4
2x = 9
Dividing both sides by 2, we find:
x = 9/2 = 4.5
Therefore, Brandon would need to add 4.5 cups of sliced lemon to 12 cups of water.