Question

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.

Answer 1

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.