Tickets

The football tournament ticket cost 45 CZK for standing and 120 CZK for sitting. Sitting spectators were 1/3 more than standing. The organizers collected a total of 12300 CZK. How many seated and standing seats (spectators)?

Final Answer:

a =  60
b =  80

Step-by-step explanation:

$$\begin{gathered} b=(1+1/3)a=4/3a \\ 45a+120b=12300 \\ 45a+120\cdot \frac{4}{3}\cdot a=12300 \\ 45\cdot a+120\cdot 4/3\cdot a=12300 \\ 615a=36900 \\ a=\frac{36900}{615}=60 \\ a=60 \end{gathered}$$

$b=\frac{4}{3}\cdot a=\frac{4}{3}\cdot 60=\frac{4\cdot 60}{3}=\frac{240}{3}=80$

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