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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
what do you want to call your variable? ok J = liters of lemon juice, fine
t= total amount of juice
you don't need two variables, one will do
especially since it says "Write an equation in ONE variable "
ok, but we have to find the total of lemon juice and water, not just lemon juice, so i didnt knoe...
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
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 \(J\)
if you do it correctly you should get \(J=1.5\)
ok so first I would subtract?
because I need to do the work
Like @misty1212 said, "J=0.6×(J+1) and solve that for J" First step is J=0.6J+0.6 OK?
What do you think the next step is then?
no, group all terms with the variable J on to one side....
?ok.. how do i do that
J=0.6J+0.6 so which term includes the variable J
And J on the left hand side! Move them all to one side but subtracting 0.6J
What do you get after that?
J=0.6J+0.6 subtract 0.6J on the left and right hand side
what is the left side equal to?
That is the right side. how about the left?
what is that equal to?