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yawa3891 [41]
3 years ago
8

Please help Show work please Solve for x

Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

We are to solve for x

7 - 10/x = 2 + 15/x

We Multiply both sides by x

x(7 - 10/x) = x(2 + 15/x)

7x - 10 = 2x + 15

Collect like terms

7x - 2x = 15 + 10

5x = 25

x = 25/5

x = 5

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

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

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Also, y = 365 - 219 = 146 gallons.

Read more on simultaneous equations;

brainly.com/question/16863577

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