Complete question :
Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th
5, start superscript, start text, t, h, end text, end superscript caller will win a music player and every 7th
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:
35th Caller
Explanation:
Given that:
Every fifth caller wins a music player ;
Every 7th caller wins a concert ticket
The first caller to win both prizes will be ;
The caller whose number corresponds to the lowest common multiple value of 7 and 5
The lowest common multiple of 7 and 5 equals :
Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60,...
Multiple of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63,...
The lowest common multiple of both 5 and 7 is 35
The the first caller to win both prizes will be the 35th caller