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)

Answer 1

Part A your equation will be 0.75 (x)=8-2.

Part B. 6 liters of apple juice.

Explanation:

Part A. 75% as a decimal is 0.75. so therefore since we know the juice is 0.75 and 0.25 ginger ale, since 2=0.25, we will be able to see that 8=100%. This is telling me that i can write the equation 0.75 (x) =8-2. The X represents the liters of apple juice. so therefore your equation will be 0.75(x)=8-2.

Part B. It is 75% apple juice so therefore .75*8=6 liters of apple juice.

Answer 2

A)
x = Total volume of punch in liters
x = 2 liters + .75x
.25x = 2 liters
x = 8 total liters

B)
It is 75% apple juice so
.75 * 8 = 6 liters of apple juice