Question
The ratio of the boys to girl’s strength in the college
in 2015 was 5:4, respectively. In 2016, the boy’s strength and the girl’s strength increased by 18% and 20%, respectively. If the total number of students in 2016 was 3852, then find the number of girls’ strength in 2015.Solution
ATQ,
Let the number of boys and girls strength in 2015 be 5x and 4x, respectively.
According to question,
1.18 × 5x + 1.2 × 4x = 3852
5.9x + 4.8x = 3852
10.7x = 3852, x = 360
So, required number of girls strength = 4x = 1440
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