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. (5 points)

Part B: How many liters of milk are present in the bottle? Show your work. (5 points)

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Respuesta :

frika

Let x L be an amount of milk in the bottle. The bottle has 1 L water, then it contains x+1 L of milk and water. This is all that is in bottle, then x+1 is 100% and you know that milk is 20%. You can write the proportion:

x+1 - 100%

x - 20%.

Mathematically,

[tex]\dfrac{x+1}{x} =\dfrac{100}{20},\\ \\20(x+1)=100x,\\ \\20x+20=100x,\\ \\100x-20x=20,\\ \\80x=20,\\ \\x=\dfrac{20}{80}=\dfrac{1}{4}=0.75.[/tex]

Answer: In the bottle is 0.75 L of milk. The total number of liters of milk and water in the bottle is 1.75 L.