A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solutioncontains 85% pure antifreeze. The company wants to obtain 170 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and howmany gallons of the premium antifreeze solution must be mixed?

Respuesta :

Given,

The percentage of pure antifreeze in pure antifreeze is 85%.

The total amount of the mixture is 170 gallons.

The percentage of pure antifreeze required is 20%.

Consider,

x is the volume of the premium 85% antifreeze (in gallons) and y be the volume of water.

According to the question,

[tex]x+y=170\text{ gallons}[/tex]

Similarly,

[tex]\begin{gathered} \frac{0.85}{170}=\frac{0.20}{x} \\ 0.85x=170\times0.2 \\ x=\frac{34}{0.85} \\ x=40 \end{gathered}[/tex]

The amount of pure antifreeze is 40 gallons.

The amount of water is 170- 40 = 130 gallons.

Hence, the amount of the premium antifreeze is 40 gallon and water is 130 gallons is mixed.