Nuts

500g of hazelnuts cost 150kč, 2kg of walnuts cost 280kč and 20dag of peanuts cost 32kč

1. how much do we pay for 150g of peanuts
2. how many grams of walnuts cost 42kč
3. how much do we pay for 150g of a mixture that the seller mixes for us in equal parts from these three types of nuts

Correct answer:

a =  24 Kc
b =  300 g
c =  30 Kc

Step-by-step explanation:

$$\begin{gathered} m=150\text{g} \\ a=m\cdot 32/200=150\cdot 32/200=24\text{Kc} \end{gathered}$$

$b=42\cdot 2000/280=300\text{g}$

$$\begin{gathered} m_1=m/3=150/3=50\text{g} \\ c=m_1\cdot 150/500+m_1\cdot 280/2000+m_1\cdot 32/200=50\cdot 150/500+50\cdot 280/2000+50\cdot 32/200=30\text{Kc} \end{gathered}$$

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