Bruce has a bottle that contains 60% lemon juice and the rest water. the bottle has 1 liter of water. part a: write an equation using one variable that can be used to find the total number of liters of lemon juice and water in the bottle. define the variable used in the equation. (5 points) part b: how many liters of lemon juice are present in the bottle? show your work. (5 points)

100%- 60%= 40%
So, we know water takes up 40% of the volume of Bruce's bottle and that the total volume of water is = 1 L. This means our total bottle volume can be found:
1Liter=  v
1Liter= 0.4v
1/0.4=v
v=2.5 Liters total in Bruce's Bottle

Part A: Equation with one variable to solve for lemon juice volume.
Now that we know the total volume of Bruce's bottle, we can set the percentage of Lemon juice = (to the volume of lemon juice divided by the total volume of the bottle)* 100

Equation:
60=(j/2.5)*100

The variable used in my equation was "j" to represent the volume of lemon juice in Bruce' bottle (in Liters).

Part B: How many Liters of juice are present in the bottle? show your work.

Let's use our equation from part "A" to solve for the value of "j":
60=(j/2.5)*100
first divide each side by 100
60/100=((j/2.5)*100)/100
0.6=j/2.5
Next, to get "j" on it's own multiply both sides of the eq. by 2.5
0.6*2.5=(j/2.5)*2.5
j= 1.5 Liters

C. 40,320 just did the math right now