Mixing

If we mix 5 kg of goods of one kind and 3 kg second one, resulting mixture cost 16.50 EUR/kg. If these quantities are mixed in reverse - first three kilograms and 5 kilograms second cost of mixture is 18.50 EUR/kg. What is the price of one kg of goods of every kind?

Correct result:

a =  13.5 Eur/kg
b =  21.5 Eur/kg

Solution:


(5a+3b)/(5+3) = 16.50
(3a+5b)/(5+3) = 18.50


(5•a+3•b)/(5+3) = 16.50
(3•a+5•b)/(5+3) = 18.50

0.625a+0.375b = 16.5
0.375a+0.625b = 18.5

a = 272 = 13.5
b = 432 = 21.5

Our linear equations calculator calculates it.



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