Question

Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5^\text{th}5 th 5, start superscript, t, h, end superscript caller will win a music player and every 7^\text{th}7 th 7, start superscript, t, h, end superscript caller will win concert tickets. You were just the first caller to win both a music player and concert tickets! What number caller were you?

Answer 1

35

Explanation:

Answer 2

You were the 35th caller.

Explanation:

For one minute, every 5th caller will win a music player and every 7th caller will win concert tickets.

If you were just the first caller to win both a music player and concert tickets, that means we need to find a least number which is divisible by both 5 and 7.

Actually we will find the LCM(Least common multiple) of 5 and 7.

`5=1*5\\ \\ 7=1*7\\ \\ So, LCM = 1*5*7=35`

That means, you were the 35th caller.