In a certain class consisting of 36 students, some boys and some girls, exactly 1/3 of the boys and exactly 1/4 of the girls walk to school. What is the greatest possible number of students in this class who walk to school?
not sure if it's correct but I get C) 11.. I'll try my best to explain
first we know that boys have the bigger ratio of 1/3 compared to girls with 1/4
so we want to max out the number of boys compared to girls
since there are 36 students, the optimal case where we can evenly divide by 3 and 4 (so 12) since must have a whole person: 24 boys and 12 girls
boys: 1/3 of 24 = 8
girls: 1/4 of 12 = 3