Question

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda. Part A: Write an equation using one variable that can be used to find the total number of liters of grape juice and lemon-lime soda in the punch. Define the variable used in the equation. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)

Answer 1

Part A.

Consider a punch containing L liters.

60% of these that is $\frac{60}{100}L=0.6L$ is grape juice, and the rest, 0.4 L is lemon-soda.

so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L
 
Part B.

For L=2, we substitute and get:

0.6 L=0.6 * 2 liters = 1.2 liters of grape juice

0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.