New School - The Problems
August 25, 2008
Chantel is going to a new school this year. She has learned that there are 11 boys and 13 girls (including herself) in her class. If the desks in her class are arranged in groups of four and student grouping is random, what is the probability that the group of four desks that she is sitting at includes only girls? Express your answer as a common fraction.
Chantel’s band class is made up of different students than her regular class. If the ratio of boys to girls in the class is 8 to 5 and the number of students in the class is even, what is the minimum possible number of students in Chantel’s band class?
Chantel’s school has a rotating class schedule. Each student takes 7 classes but they only have 6 of them each day. The first day they have classes 1, 2, 3, 4, 5 and 6, the second day they have classes 7, 1, 2, 3, 4 and 5, the third day they have classes 6, 7, 1, 2, 3 and 4, and so on. How many school days pass before a day’s schedule is repeated?
The solutions to this week's problems will be posted in the archive on Monday, September 1st, 2008.