Question

Harry has a jar that contains 75% of apple juice and the rest water. The bottle has 1 liter of water.

Part A: Write an equation in one variable that can be used to find the total number of liters of apple juice and water in the jar. Define the variable used in the equation. (5 points)
Part B: How many liters of apple juice are present in the jar? Show your work. (5 points)

Answer 1

Define the variable used in the equation.
Well you know apple juice = 75% so water = 25%
Keep in mind that percentage is the number over 100.
So when you have 75% of apple juice,
it means you have 75/100 of apple juice from the total mixture of apple juice and water.
The same applies for 25% water.

Part B:
How many liters of apple juice are present in the jar?
Have x(or anything you want) represent the total volume of mixture.
So you have for apple juice: 75/100 * x water: 25/100 * x
You know the water is 1 liter. So you have 25/100 * x = 1

This is how you set up the equations.

Answer 2

A. Let a equal the amount of apple juice in the jar. a=3(1)

B. 3 liters. The water is 25% or 1/4. So using the equation above a=3(1) then a=3.