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a chemical company mixes pure water with their premium antifreeze solution to create an inexpensive anti-freeze mixture. the premium antifreeze solution contains 85% pure antifreeze. the company wants to obtain 170 gallons of a mixture that contains 80% pure antifreeze. how many gallons of water and how many gallons of the premium antifreeze solution must be mixed? water: __ Gallonspremium anti-freeze: __Gallons

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Given data:

The expression for the gallon of premium antifreeze is,


\begin{gathered} 0.85x=170*0.80 \\ x=160 \end{gathered}

The volume of the water is,


\begin{gathered} w=170-x \\ =170-160 \\ =10 \end{gathered}

Thus, the volume of water is 10 gallons, and volume o antifreeze is 160 gallons.

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