Question

Several UH Cougar basketball fans stood in a circle and took turns around the circle yelling out the names of the twelve players on the team. They said the names in the same order each time around the circle. Each name was said at least six times and four names were said seven times after two rounds around the circle. How many fans are in the group? A. 36 B. 38 C. 40 D. 42

Answer 1

There are 12 players on the team.

After two rounds around the circle of fans, each name was yelled at least 6 times except for 4 names that were yelled 7 times.

This indicates that to complete the rounds of fans, the complete list of names was yelled 6 times and 4 of them were called a seventh,

To determine the number of fans, multiply the number of members of the team by 6 and then add the extra four:

`(12\cdot6)+4=72+4=76`

There was a total of 76 names yelled after the second round was finished.

They made two rounds around the circle, so you have to divide the result by 2 to determine the number of fans:

`(76)/(2)=38`

There are 38 fans in the group