Question

A farmer has two types of milk, one that is 20% milkfat and one that is 12% milkfat. How much of each is needed to get 20 gallons of 15% milkfat?.

Answer 1

Two equal expressions combine to make an equation. It takes 7.5 gallons and 12.5 gallons, respectively, of 20% milk and 12% milk to blend them.

How do equations work?

When two equal phrases are added together with the aid of the equal sign "=," an equation is created.

Briefing :

Let the amount of 20%milk mixed be represented by x, while the amount of 12% milk mixed is represented by y. Therefore, the two-equation can be written as,

               x + y=20 gallons

0.20x + 0.12y = (0.15×20)

Solve the first equation for x, therefore,

x = 20 - y

substitute the value of x in the second equation,

0.20(20-y) + 0.12y = 3

     4 - 0.2y +0.12y = 3

                  -0.08y = -1

y = 12.5 gallons

substitute the value of y in the first equation,

x + 12.5 = 20

         x = 7.5 gallons

Hence, the amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.

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