Dairy 2

The dairy meal is made up of a mixture of wheat bran and cotton. 40 kg of wheat bran cost sh.1250, and 50 kg of cotton cost sh.3250. 50 kg of a dairy meal is a mixture of 48 kg of wheat bran and 2 kg of cotton. Calculate the cost of a 1 kg dairy meal.

Correct answer:

x =  32.6 sh/kg

Step-by-step explanation:

$$\begin{gathered} c_1=1250/40=\frac{125}{4}=31.25\text{sh/kg} \\ {c}_2=3250/50=65\text{sh/kg} \\ {m}_1=48\text{kg} \\ {m}_2=2\text{kg} \\ x=\frac{m_1\cdot c_1+m_2\cdot c_2}{m_1+m_2}=\frac{48\cdot 31.25+2\cdot 65}{48+2}=32.6\text{sh/kg} \end{gathered}$$

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