Mixing

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

Final Answer:

a =  13 12 = 27/2 Eur/kg
b =  21 12 = 43/2 Eur/kg

Step-by-step explanation:

m1=5 kg m2=3 kg m=m1+m2=5+3=8 kg  (m1 a+m2 b)/m = 16.50 (m2 a+m1 b)/m = 18.50  m1 a+m2 b=16.50 m m2 a+m1 b=18.50 m 5 a+3 b=16.50 8 3 a+5 b=18.50 8  5a+3b=132 3a+5b=148  Row253 Row1Row2 3.2b=68.8  b=3.268.8=21.5 a=51323b=51323 21.5=13.5=227 Eur/kg=13.5 Eur/kg  a=227=13.5 b=243=21.5



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