Youth track

The youth railway line from Hronská Dúbrava to Banská Štiavnica, whose proposed cancellation attracted significant media attention and public opposition, costs 6.3 euros per passenger and earns 13 cents per passenger in revenue.

Calculate the total subsidy for a trip by a group of 27 students (all paying full fare). How many times more expensive would tickets need to be for the line to break even?

Final Answer:

s =  166.59 €
y =  48.5

Step-by-step explanation:

$$\begin{gathered} r=\frac{13}{100}=0.13\text{eur} \\ s=27\cdot (6.3-r)=27\cdot (6.3-0.13)=166.59\text{Eur} \end{gathered}$$

$y=\frac{6.3}{r}=\frac{6.3}{0.13}=48.5$

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