SOLUTION: I just need my work checked please. Also sorry if this is the wrong place for the problem. Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has

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Question 994704: I just need my work checked please. Also sorry if this is the wrong place for the problem.
Bruce has a bottle that contains 60% of lemon 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 lemon juice and water in the bottle. Define the variable used in the equation.
Part B: How many liters of lemon juice are present in the bottle? Show your work.
Here's my work:
0.60*1/0.40 = x
0.60/0.40 = x
1.5 = x
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
If it's a 1 liter bottle, how can 1.5 liters be lemon juice?
.
.
The bottle is a total of 1 liter.
Lemon juice is 60% of the liter.
Water is 40% of the liter.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
I just need my work checked please. Also sorry if this is the wrong place for the problem.
Bruce has a bottle that contains 60% of lemon 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 lemon juice and water in the bottle. Define the variable used in the equation.
Part B: How many liters of lemon juice are present in the bottle? Show your work.
Here's my work:
0.60*1/0.40 = x
0.60/0.40 = x
1.5 = x
The equation you set up and the amount you got are for the amount of lemon juice in the bottle, but you need an equation for the total amount of lemon juice and water.

This is done as follows:

40% or .4 represents the amount of water in the bottle. Since that amount is 1 L, and with amount of lemon juice and water being T, we get:



 -------- Cross-multiplying



You actually have the answer to Part B, as there is indeed 1.5 L of lemon juice in the bottle  

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