Question

On Fan Appreciation day, fans will be receiving free gifts. Every person Who passes through the turnstyle gets a team cap. Every second person through will get a pennant. Every sixth person gats a bat. Every 25th person gets an autographed baseball. Which person is the first one to get all the free gifts

Answer 1

On Fan Appreciation day

• every person gets a team cap;
• every 2nd person gets a pennant;
• every 6th person gets a bat;
• every 25th person gets an autographed baseball.

Find LCM(1,2,6,50).

Since 6=2·3 and 50=2·5·5, then

LCM(1,2,6,50)=2·3·5·5=150.

Answer: Every 150th person geta all free gifts.