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Alexxandr [17]
11 months ago
5

A dairy needs 365 gallons of milk containing 7% butterfat. How many gallons each of milk containing 9% butterfat and milk contai

ning 4% butterfat must be used to obtain the desired 365 gallons?
Mathematics
1 answer:
azamat11 months ago
6 0

The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;

  • 219 gallons of 9% fat.
  • 146 gallons of 7% fat.

<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>

It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.

Let x = quantity of 9% fat milk and

Let y = quantity of 4% fat milk

Therefore, by mass balance; we have;

x + y = 365.

Where; y = 365 - x.

Also, by fat balance; we have;

(9% × x) + (4% × y) = (7% × 365)

9x + 4y = 2555

Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;

9x + 4 (365 - x) = 2555

5x = 1095

x = 1095/5

x = 219 gallons.

Also, y = 365 - 219 = 146 gallons.

Read more on simultaneous equations;

brainly.com/question/16863577

#SPJ1

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