Respuesta :
Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
x=quarts of 6% butterfat
First, write an equation.
0.06x+0.01(75-x)=0.03*75
Multiply both sides by 100.
0.06x*100+0.01*100(75-x)=100*0.03*75
Simplify
6x+75-x=3*75
6x+75-x=225
Solve
5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
So, the mixture contains 60 quarts of 6% milk and 15 quarts of 1% milk
Linear Equation:
The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1
Let [tex]x[/tex] quats and [tex]y[/tex] quats of 6% and 1% butterfat milk then,
[tex]x+y=75...(1)[/tex]
And
[tex]\frac{6x}{100} +\frac{y}{100} =375\\6x+y=375...(2)[/tex]
Now, solving equations (1) and (2) we get,
[tex]x=60\\y=15[/tex]
Learn more about the topic linear equations:
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