Question

Celine has a bottle that contains 20% milk 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 milk and water in the bottle. Define the variable used in the equation. Hint: 0.2x represents the number of liters of milk in the bottle. (5 points) part b: how many liters of milk are present in the bottle? Show your work. (5 points)

Answer 1

The given condition is- A bottle contains 20% milk and the rest water. The bottle has 1 liter of water.

Part A:

Let the amount of mixture in the bottle be = x ; mixture will be amount of water plus milk

Given is- the bottle has 1 liter of water and 20% is milk. 20% is 0.2

Hence equation will be:

$0.2x+1 =x$

Part B:

Solving the equation

$x-0.2x=1$

$0.8x=1$

$x=\frac{1}{0.8}$ = 1.25

Hence, total mixture is 1.25 liters.

Water is 1 liter so milk will be = $1.25-1=0.25$

Or it can also be solved using milk percentage of 0.2%

$0.2*1.25=0.25$

Hence, milk is 0.25 liter