Club members

The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats.

Final Answer:

x =  240

Step-by-step explanation:

$$\begin{gathered} x\le 275 \\ x=60n_1 \\ x=80n_2,n_1,n_2\in N \\ 60=2^2\cdot 3\cdot 5 \\ 80=2^4\cdot 5 \\ LCM(60,80)=2^4\cdot 3\cdot 5=240 \\ d=LCM(60,80)=240 \\ x=k\cdot d \\ x\le 275 \\ x=1\cdot d=1\cdot 240=240 \end{gathered}$$

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