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)

There are no answers to this question now, and my answer was deleted as "plagiarism" even though I did it from scratch, but to help you out I'll do it again, and hopefully they'll see how a simple problem is going to be the same solution and perhaps involve the same text as something else, even enough to set off a plagiarism detecting program, but certainly not enough that a human looking at it wouldn't be able to discern that.

Emily is making a punch that contains 75% apple juice and the rest ginger ale. 
p = a + g
so:
p = a + 2

a=0.75p

Substitute p-2 in for A to get the equation with one variable:
p-2=0.75p  << this is the answer for part A)
.25p=2    << take 0.75p from both sides and add 2 to both sides.
p=8  <-- divide 2 by .25

a=p-g 
so
a=8-2 
a=6  <<-- this is the answer to part B.

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.