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.

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?

35th Caller

Step-by-step 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

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

the answer is c

hope this !