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 create a mixture. What will be the price of 100 grams of this mixture?

Correct result:

x =  21.1474 Kc

Solution:

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

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