SOLUTION: One math class has a greater number of students than the other. However both classes have a ratio of 5 boys and 6 girls. How is this possible? Give an example.

Question 922445: One math class has a greater number of students than the other. However both classes have a ratio of 5 boys and 6 girls. How is this possible? Give an example.
Answer by KMST(5347) (Show Source): You can put this solution on YOUR website!
EXAMPLE/STORY:
Ms. Sweetie is a very popular teacher teaching the morning algebra section at the local community college. Her class is always full. This semester she has 33 students in her class (15 young men, and 18 girls). After the class was enrolled at the state full capacity of 30 students, she choose to accept 3 extra students that needed the class, but could not take the afternoon section.
On the other hand, the afternoon algebra section, taught by Dr. Grump, is a bit under-enrolled. Only 11 students (5 boys and 6 girls) signed up for that section.

EXPLANATION:
If boys and girls are in the ratio of 5:6 in a class, you can divide them into groups of 5 boys and 6 girls (5+6=11 students per group). Classes like that will have a number of students that is a multiple of 11:
5 boys + 6 girls = 11 students, or
10 boys + 12 girls = 22 students, or
15 boys + 18 girls = 33 students, or
20 boys + 24 girls = 44 students, or
25 boys + 30 girls = 55 students, or ...
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