Question

Emily is making a punch that contains 75% apple 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 apple juice and ginger ale in the punch. Define the variable used in the equation. (5 points)

Part B: How many liters of apple juice are present in the punch? Show your work. (5 points)

Please help!! I don't understand this problem and I'm usually really good at math..

Answer 1

For this item, we may let x be the number or liters of apple juice present in the ginger ale. The total volume of the punch then becomes
total volume = 2 + x
Then, considering that 75% of this is apple juice,
x/(2 + x) = 0.75
x = 0.75(2 + x) = 1.5 + 0.75x
x = 1.5 + 0.75x
Also, for this item, the vaue of x is equal to 6 liters.