I have milk that contains 1 percent fat and milk that contains 4 percent

I have milk that contains 1 percent fat and milk that contains 4 percent fat. a customer wants a double latte made with 1/3 of a pint of 2 percent milk. how much of each type of milk should i use ?

2 months ago

Solution 1

Guest Guest #56
2 months ago

The double lathe milk with 2 percent fat concentration, is made by

considering the concentration and amount of each constituent.

The amount of each type of milk to be used in the \dfrac{1}{3} pint of double lathe

are;

  • \dfrac{2}{9} pint of the 1 percent fat milk and  \dfrac{1}{9} pint of the 4 percent fat milk.

Reasons:

Let x represent the amount of the milk that contains 1 percent fat in the

volume of the 2 percent fat milk.

Therefore, we have;

The amount of the 4 percent fat milk to be used = \dfrac{1}{3} - x

Amount \ of \ fat = \dfrac{1}{100}  \times x + \dfrac{4}{100} \times  \left (\dfrac{1}{3}  - x\right) =  \dfrac{2}{100} \times \dfrac{1}{3} = \dfrac{2}{300}

\dfrac{1}{100}  \times x + \dfrac{4}{100} \times  \left (\dfrac{1}{3}  - x\right) = \dfrac{4 - 9 \cdot x}{300} = \dfrac{2}{300}

Therefore;

4 - 9·x = 2

4 - 2 = 9·x

x = \dfrac{2}{9}

The amount of the 1 percent fat milk to be used for the double lathe, x = \dfrac{2}{9}

of a pint.

The amount of the 4 percent fat milk to be used for the double lathe = \dfrac{1}{3} - x

Therefore;

The mount of the 4 percent fat milk = \dfrac{1}{3} - \dfrac{2}{9} =\dfrac{1}{9}

The amount of the 4 percent fat milk to be used for the double lathe = \dfrac{1}{9}

pint.

Learn more here:

brainly.com/question/13220698

Solution 2

Guest Guest #57
2 months ago
You should use 2/9 of a pint of the 1% milk and 1/9 of a pint of the 4% milk.

Let x be the amount of 1% milk used.  1% = 1/100 = 0.01; this gives us 0.01x to represent this.

We know that we will use the 4% milk to make up the rest of the 1/3 pint; this gives us 0.04(1/3-x).

Together, they will make 1/3 pint of 2% milk, or 0.02(1/3)

This gives us the equation 
0.01x+0.04(1/3-x) = 0.02(1/3)

Multiplying, we have
0.01x+0.04/3-0.04x = 0.02/3

We can multiply everything by 3 to eliminate the fractions:
0.01x*3 + 0.04 - 0.04x*3 = 0.02
0.03x + 0.04 - 0.12x = 0.02

Combining like terms, we have
-0.09x + 0.04 = 0.02

Subtract 0.04 from both sides:
-0.09x + 0.04 - 0.04 = 0.02 - 0.04
-0.09x = -0.02

Divide both sides by -0.09:
-0.09x/-0.09 = -0.02/-0.09

This gives us x = 2/9, so we will use 2/9 of a pint of the 1% milk.

1/3 - 2/9 = 3/9 - 2/9 = 1/9; we will use 1/9 of a pint of the 4% milk.

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