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)
(10 points)
Let the total amount of juice be x litres.
.4x = 2
x = 2/.4 = 5
So of that 5 litres, .6(5) or 3 litres is grape juice
and .4(5) or 2 litres is lemon juice.
I will let you sort out how to answers your parts of the question
Part A:
Let's define the variable "x" as the total number of liters of grape juice in the punch.
Since the punch contains 60% grape juice, we can say that the remaining 40% is lemon-lime soda.
We know that the punch has a total of 2 liters of lemon-lime soda.
So, the equation using one variable "x" to find the total number of liters in the punch would be:
0.4x = 2
Part B:
To find the number of liters of grape juice in the punch, we can use the equation derived in Part A.
0.4x = 2
To solve for x, we divide both sides of the equation by 0.4:
x = 2 / 0.4
x = 5
Therefore, there are 5 liters of grape juice present in the punch.