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.

Could anyone help me with this?

Question

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. 

Could anyone help me with this?

anonymous · Answer

X amount of lemon juice
y amount of water 
0.6x+0.4Y=1
i am not sure

insert_username · Answer

Ok thanks!

fibonaccichick666 · Answer

I like your x and y choice, but think your y is unnecessary.  We already know how much water we have, what don't we know?

fibonaccichick666 · Answer

Also, we will need two equations if we had two variables. So we need to come up with something else.  So, like above, start with "what does the question want in the end?"

insert_username · Answer

If 40% of the bottle is 1 liter than there are 1.5 liters of lemon juice in the bottle. 
So I'm just confused on the equation. The question says to write an equation with 1 variable

fibonaccichick666 · Answer

alright, well that is good that you have an answer, but I don't think it is correct.  So how did you arrive at that answer?

insert_username · Answer

@FibonacciChick666

fibonaccichick666 · Answer

(I think you may have been close in how you got your answer though, That is why seeing your work will be helpful)

insert_username · Answer

The question said the bottle had 1 liter of water in it and that liter of water is 40% of the bottle

insert_username · Answer

I just figured that since 40% of the bottle is 1 liter that 60% percent would be 1.5

fibonaccichick666 · Answer

well yes that is true 60% of the total is 1.5 but the question is asking for the combined total not the individual parts.  But how did you figure it?  What process ddid you use?  You didn't just pull 1.5 out of thin air.

fibonaccichick666 · Answer

hint: make the variable what the question wants you to find for your problem

fibonaccichick666 · Answer

another approach is to rewrite the question then translate it into math terms.  SO you are given that 60% of a solution is lemon juice.  so you know the other 40% is water.  Then they tell you that there is 1 liter of water.  Well in one sentence that is "40% of some solution is 1 liter"  Translate that to math and you have an answer.  Sorry I have to go.  Best of luck!