City market

Apples were sold at contractual prices at the city market. Calculate the average price of 1 kg of apples sold:

Stand, Sale kg, Price CZK/kg
1 325 6.20
2 194 7.00
3 258 6.50
4 870 5.90
5 275 6.40

Correct result:

x =  6.2138 Kc/kg

Solution:

$$\begin{gathered} m_1=325;c_1=6.20 \\ {m}_2=194;c_2=7.00 \\ {m}_3=258;c_3=6.50 \\ {m}_4=870;c_4=5.90 \\ {m}_5=275;c_5=6.40 \\ x={\displaystyle \frac{m_1\cdot c_1+m_2\cdot c_2+m_3\cdot c_3+m_4\cdot c_4+m_5\cdot c_5}{m_1+m_2+m_3+m_4+m_5}}={\displaystyle \frac{325\cdot 6.2+194\cdot 7+258\cdot 6.5+870\cdot 5.9+275\cdot 6.4}{325+194+258+870+275}}=6.2138\text{ Kc/kg} \end{gathered}$$

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