the ratio of boys to girls in a senior class is 5:3. if 9/10 of the boys may graduate and all the girls may or may not graduate, what is the maximum part of the senior
class that may graduate?
(9/10)(5/8) = 9/16
oops. That figure applies if no girls graduate.
If all the girls graduate, then
9/16 + 3/8 = 15/16 may graduate.
To find the maximum part of the senior class that may graduate, we need to determine the number of boys and girls in the senior class and then calculate the graduation rates for each group.
Let's assume the number of boys in the senior class is 5x, and the number of girls is 3x (since the ratio of boys to girls is 5:3). Therefore, the total number of students in the senior class is 5x + 3x = 8x.
If 9/10 of the boys may graduate, it means their graduation rate is 9/10 or 0.9. Therefore, the number of boys who may graduate is 0.9 times the number of boys, which is 0.9 * 5x = 4.5x.
For the girls, it is stated that they may or may not graduate. This means their graduation rate is uncertain, and we do not have any specific information to calculate it.
So, the maximum part of the senior class that may graduate is the sum of the boys who may graduate and the girls who may or may not graduate: 4.5x + 3x = 7.5x.
However, since we do not have any specific information about the graduation rate for girls, we cannot find the exact maximum part of the senior class that may graduate. We can only say that it is between 7.5x (if all the girls may graduate) and 8x (if none of the girls may graduate).