Question

Adairy farmer will mix milk that has 6 butterfat with milk that has 196 butterfat to create 225 gallons of milk containing 5% butterfat. Which system of equationsmodels this situation?fx +0.01y - 22510.06x + y = 0.05(225)fx + y (0.05)22510.06x +0.01y = 225ſx +y - 2250.06 0.01 -0.05(225)10.06x +y -0.05(225)1x +0.01y - (225)

Answer 1

x is the number of gallons of milk that has 6% butterfat.

y is the number of gallons of milk that has 1% butterfat.

As the farmer will create 225 gallons of milk: x and y needs to sum 225

`x+y=225`

To describes the butterfat that has the milk, write the percentage as decimals and multiply corresponding number of gallons for the decimal butterfat that it has.

6% is 0.06

1% is 0.01

5% is 0.05

`\text{0}.06x+0.01y=0.05(225)`

Then, the system of equation that describes the situation is:

`\begin{gathered} x+y=225 \\ \text{0}.06x+0.01y=0.05(225) \end{gathered}`