An ice cream maker decided that ice cream with 7% butterfat is the best to sell. How many gallons of ice cream with 4% butterfat should be mixed with ice cream that is 14% butterfat to make 300 gallons of the desired blend? The ice cream maker should mix ___ gallons of ice cream with 4% butterfat and ___ gallons of the ice cream with 14% butterfat. (Type integers or decimals.)

The ice cream maker should mix 210 gallons of ice cream with 4% butterfat and 90 gallons of the ice cream with 14% butterfat.

Step-by-step explanation:

We are given the following in the question:

We want the mixture with 7% butterfat.

Amount of mixture = 300 gallons

Amount of butterfat in mixture =

Let x gallons of 4% butterfat used in mixture.

Butterfat in x gallons =

Amount of 14% butterfat used in mixture =

Butterfat in (300-x) gallons =

Thus, we can write the equation:

Butterfat in mixture =

Thus, the ice cream maker should mix 210 gallons of ice cream with 4% butterfat and 90 gallons of the ice cream with 14% butterfat.

step-by-step explanation:

the answer is 99.