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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.

- anonymous

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- misty1212

HI!!

- misty1212

the total number of liters of water is not something you have to find, it is 1 liter
what you have to find is the liters of lemon juice
name a variable, and say that it represents the number of liters of lemon juice

- anonymous

j=lemon juice

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## More answers

- misty1212

what do you want to call your variable? ok J = liters of lemon juice, fine

- anonymous

t= total amount of juice

- misty1212

you don't need two variables, one will do

- misty1212

especially since it says
"Write an equation in ONE variable "

- anonymous

ok, but we have to find the total of lemon juice and water, not just lemon juice, so i didnt knoe...

- misty1212

if J is the amount of lemon juice and there is one liter of water, then the total amount is
\[J+1\] which is why you don't need another variable

- anonymous

ok

- misty1212

then \(60\%\) of the total is lemon juice, the total is \(J+1\) so you can write an equation
\[J=0.6\times (J+1)\] and solve that for \(J\)

- misty1212

if you do it correctly you should get \(J=1.5\)

- anonymous

ok so first I would subtract?

- anonymous

because I need to do the work

- anonymous

please help

- sdfgsdfgs

Like @misty1212 said,
"J=0.6Ã—(J+1)
and solve that for J"
First step is
J=0.6J+0.6
OK?

- anonymous

okk?

- sdfgsdfgs

What do you think the next step is then?

- anonymous

subtract 1?

- anonymous

@sdfgsdfgs

- sdfgsdfgs

no, group all terms with the variable J on to one side....

- anonymous

?ok.. how do i do that

- sdfgsdfgs

J=0.6J+0.6
so which term includes the variable J

- anonymous

0.6j? @sdfgsdfgs

- sdfgsdfgs

And J on the left hand side!
Move them all to one side but subtracting 0.6J

- anonymous

ok

- sdfgsdfgs

What do you get after that?

- anonymous

j=.6?

- anonymous

@sdfgsdfgs

- anonymous

please?

- sdfgsdfgs

J=0.6J+0.6
subtract 0.6J on the left and right hand side

- anonymous

j-6j=.6

- sdfgsdfgs

what is the left side equal to?

- anonymous

0.6?

- sdfgsdfgs

That is the right side. how about the left?

- anonymous

j-.6j

- sdfgsdfgs

what is that equal to?

- anonymous

.6

- anonymous

@sdfgsdfgs

- anonymous

@myininaya

- anonymous

@sdfgsdfgs

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