Coffee

In stock are three kinds of branded coffee prices:

I. Kind. .. .. .205 Kc/kg
II. Kind. .. .. .274 Kc/kg
III. Kind. .. .. 168 Kc/kg

Mixing these three species in the ratio 8:5:6 creates a mixture. What will the price of 100 grams of this mixture be?

Correct answer:

x =  21.1474 Kc

Step-by-step explanation:

$$\begin{gathered} m_1=100\text{g}\to \text{kg}=100:1000\text{kg}=0.1\text{kg} \\ r=\frac{8\cdot 205+5\cdot 274+6\cdot 168}{8+5+6}=\frac{4018}{19}\doteq 211.4737\text{Kc/kg} \\ x=r\cdot m_1=\frac{4018}{19}\cdot \frac{1}{10}=\frac{4018\cdot 1}{19\cdot 10}=\frac{4018}{190}=\frac{2009}{95}\text{Kc}=21.1474\text{Kc} \end{gathered}$$

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