Problem

9. Milk and cream contain different percents of butterfat. How much 3% milk needs to be mixed with how much 15% cream to give 20 L of 6% cream?

Answer

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Answer

Final Answer: The solution to the problem is x=15 and y=5. This means that 15 L of 3% milk needs to be mixed with 5 L of 15% cream to give 20 L of 6% cream.

Steps

Step 1 :Let's denote the volume of the 3% milk as x (in liters) and the volume of the 15% cream as y (in liters).

Step 2 :We can set up two equations based on the volume and the percentage of butterfat.

Step 3 :The first equation is based on the total volume: x+y=20.

Step 4 :The second equation is based on the total percentage of butterfat: 0.03x+0.15y=0.0620.

Step 5 :Solving these two equations gives us the values of x and y.

Step 6 :The solution to the equations is x=15 and y=5.

Step 7 :Final Answer: The solution to the problem is x=15 and y=5. This means that 15 L of 3% milk needs to be mixed with 5 L of 15% cream to give 20 L of 6% cream.

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