Question

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.
Part A: Write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. Define the variable used in the equation. (5 points)
Part B: How many liters of cranberry juice are present in the punch? Show your work. (5 points)

Answer 1

If the punch he is making has 80% cranberry juice and the rest ginger ale, we can say that there is 20% ginger ale. As 80% is 4 times 20% we can create the equation y (cranberry juice) = 4*x(ginger ale). So then if there is 2 liters of ginger ale, we substitute x for 2, and get y=4*2, and y=8, or 8 liters of cranberry juice. we can check this by seeing that the cranberry juice is 8 out of 10 total liters or 8/10, or 80/100 which is 80%.