Mixture of nuts

We should prepare the mixture of nuts from almonds, peanuts, and nuts cashew ratio of 1:2:3 (respectively). The price of almonds is 150 CZK/kg, the price of peanuts is 140 CZK/kg, and the price of cashew nuts is 180 CZK/kg. The price of the mixture is determined by the ratio in which the nuts are mixed.

What will be the price of one kilogram of the walnut mixture?

Correct answer:

c =  161.67 Kc/kg

Step-by-step explanation:

$$\begin{gathered} m_1:m_2:m_3=1:2:3=1x:2x:3x \\ c=\frac{1\cdot 150+2\cdot 140+3\cdot 180}{1+2+3}=\frac{485}{3}\text{Kc/kg}=161.67\text{Kc/kg} \end{gathered}$$

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