Math New Drill (Level 1) : Ratios and Proportions Problem2(2) NAKANO ATTACHED TO MEIJI UNV.-2014

The number of students of girls in a certain junior high school is 95% of the number of students of boys.

The number of absentees on a certain day were four and all of them were girls. 

The ratio of the number of girls' attendant in this day became 11/12 of the boy. 

Find the number of all students of this junior high school.



Answer
234 persons

Solution
The number of boys is set to be X. 

X : X × 0.95 - 4 = 12 : 11 

X × 12 × 0.95 - 48 = X × 11 

Thus X × 0.4 = 48 

Then X = 120. 

Therefore the number of all students is 120 + 120 × 0.95 = 120 + 114 = 234 persons.