Necessary 8380

With cream with a fat content of 36% and milk with a fat content of 3.85%, it is necessary to make 65 liters of whipped cream with a fat content of 33%. How many liters of each of the raw materials do we need?

Correct answer:

a =  58.9347 l
b =  6.0653 l

Step-by-step explanation:


0.36a + 0.0385b = 0.33(a+b)
a+b = 65

0.36·a + 0.0385·b = 0.33·(a+b)
a+b = 65

0.03a-0.2915b = 0
a+b = 65

Pivot: Row 1 ↔ Row 2
a+b = 65
0.03a-0.29b = 0

Row 2 - 0.03 · Row 1 → Row 2
a+b = 65
-0.32b = -1.95


b = -1.95/-0.3215 = 6.06531882
a = 65-b = 65-6.06531882 = 58.93468118

a = 58.934681
b = 3900/643 ≈ 6.065319

Our linear equations calculator calculates it.
b=6.0653=6.0653 l



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