Brainlies! 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)

Part A:
Let
t =  total the liquid in the bottle including lemon juice and water
so t =  lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and 60% lemon juice
contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1

part B:
from part A, you have equation t = 0.6t +1
solve for t
 t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5

2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 1 liter of lemon juice