In a senior secondary school, ²⁄₃ of the students are girls, ⁴⁄₅ of the girls are in SS3. If ¹⁄₆₄ of
In a senior secondary school, ²⁄₃ of the students are girls, ⁴⁄₅ of the girls are in SS3. If ¹⁄₆₄ of the girls in SS3 got admitted into the university, what could be the possible number of students in this school?
Explanation
Let total students equal N. Girls equal two-thirds N. SS3 girls equal four-fifths times two-thirds N equals eight-fifteenths N. Girls admitted equal one over sixty-four times eight-fifteenths N equals eight over nine hundred sixty N equals one over one hundred twenty N.
For this to be a whole number of students, N must be divisible by 120. Check the options: 64 is not divisible by 120. 120 divided by 120 equals 1, which works. 150 divided by 120 equals 1.25, not a whole number. 128 is not divisible by 120.
When N equals 120: girls equal 80, SS3 girls equal 64, admitted equals 120 over 120 equals 1 student. This gives whole numbers throughout, making 120 the valid answer.