Study the given information to answer the questions that follow.
There are two coaching institutions in a town, institution A and institution B, the total number
of students in both institutions are 1350. The ratio of the students in institution A to that of
institution B is 7: 8. There are only three classes in each Institution, Class X, Class Y and
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Class Z. In institution A, 70% students are boys and the rest are girls, whereas in institution
B the ratio of boys to girls is 11 : 7. In institution A, 4
7 of the total girls enrolled in Class Y,8/9
of the remaining enrolled in Class Z and rest in Class X. Out of the total boys in institution
A, 42 6/7% enrolled in class X, 44 4/9% of the remaining in Class Y and the rest in Class Z. In
Institution B, 4/11 of the total boys enrolled in class Y, and the number of boys enrolled in class
Z is 5% more than the boys enrolled in class Y and rest in class X. one-fourth of the total girls
are enrolled in class Z, and the number of girls enrolled in class X is 10% more than the girls
enrolled in class Y.
