# Coffee

In stock are three kinds of branded coffee prices:

I. kind......248 Kč/kg
II. kind......134 Kč/kg
III. kind.....270 Kč/kg

Mixing these three species in the ratio 10:7:7 create a mixture. What will be the price of 1100 grams of this mixture?

Result

x =  243.283

#### Solution:

$m_{ 1 } = 1100 \ g = 1100 / 1000 \ kg = 1.1 \ kg \ \\ \ \\ r = \dfrac{ 10 \cdot \ 248+7 \cdot \ 134+7 \cdot \ 270 }{ 10+7+7 } = \dfrac{ 1327 }{ 6 } \doteq 221.1667 \ \\ \ \\ x = r \cdot \ m_{ 1 } = 221.1667 \cdot \ 1.1 = \dfrac{ 14597 }{ 60 } \doteq 243.2833 = 243.283 \ \text { Kc }$

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