A drink recipe calls for 4 cups lime-juice, 2 cups of sugars, and 8 cups of water. How many cups of sugar are in a batch that contains 8 cups of total liquid (lime-juice and water) ?

1 + (1/3) cups of sugar

Step-by-step explanation:

2 cups of sugar = 12 cups of total liquid

Divide both by 12 to find how many cups of sugar for 1 cup of liquid

2/12 = 12/12; 1/6 = 1

Multiply both by 8 to find how many cups of sugar is equivalent to 8 cups of liquid.

(1/6) * 8 = (1*8); 8/6 = 8

1 + (2/6) = 8 cups of liquid; 1 + (1/3) = 8 cups of liquid