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, start text, t, h, end text, end superscript caller will win a music player and every 7^\text{th}7 th 7, start superscript, start text, t, h, end text, 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

35th caller

Explanation:

Answer 2

The first caller who win both a music player and concert tickets is 35th caller.

Explanation:

Given : Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th caller will win a music player and every 7th caller will win concert tickets. You were just the first caller to win both a music player and concert tickets.

To find : What number caller were you?

Solution :

The caller will win both a music player and concert tickets if he lies in group of every 5th caller as well as every 7th caller.

So, we find the first caller who will win both a music player and concert tickets i.e. the L.C.M. of 5 and 7 .

L.C.M. of 5 and 7 is
`5* 7=35` .

Therefore, the first caller who win both a music player and concert tickets is 35th caller.