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A chemical company makes two brands of antifreeze. The first brand is 35% anti freeze, and the second brand is 85% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used.

User Liraz
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1 Answer

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Answer: There are 30 gallons of anti freeze of first brand and 120 gallons of anti freeze of second brand.

Explanation:

Since we have given that

Percentage of anti freeze in first brand = 35%

Percentage of anti freeze in second brand = 85%

Percentage of anti freeze in mixture = 75%

Total number of gallons of mixture = 150 gallons

We will use " Mixture and Allegation":

First brand Second brand

35% 85%

75%

------------------------------------------------------------------

85%-75% : 75%-35%

10 : 40

1 : 4

So, Number of gallons of anti freeze in first brand is given by


(1)/(5)* 150\\\\=30\ gallons

Number of gallons of anti freeze in second brand is given by


(4)/(5)* 150\\\\=40* 3\\\\=120\ gallons

Hence, there are 30 gallons of anti freeze of first brand and 120 gallons of anti freeze of second brand.

User Mussy
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