Answer:
Let's use variables to represent the quantities of fruit punch and lemonade that Corrinne is making.
Let's say that the amount of lemonade she is making is x gallons.
According to the problem, the amount of fruit punch she is making is twice as much as the lemonade, which means she is making 2x gallons of fruit punch.
The total amount of liquid she is making is 12 gallons, so we can set up an equation:
x + 2x = 12
Simplifying the left side:
3x = 12
Dividing by 3:
x = 4
So Corrinne is making 4 gallons of lemonade and 2x = 2(4) = 8 gallons of fruit punch.
Therefore, Corrinne is making 4 gallons of lemonade and 8 gallons of fruit punch.
Explanation: