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A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85 % pure antifreeze. The company wants to obtain 170 gallons of a mixture that contains 35 % pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

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rahmathriaz

Answer:

Use x gallons of 55% and (30 - x) gallons of 80%.

0.55x + 0.80(30 - x) = 0.65(30)

-0.25x = -4.5

x = 4.5/0.25 = 18

30 - x = 30 - 18 = 12

Use 18 gallons of 55% and 12 gallons of 80%.

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