1. In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?
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By: anil on 05 May 2019 01.39 am
Let the number of boys initially = $$31x$$ => Number of girls = $$23x$$ Acc to ques, => $$frac{31x}{23x + 75} = frac{124}{107}$$ => $$3317x = 2852x + 9300$$ => $$3317x - 2852x = 465x = 9300$$ => $$x = frac{9300}{465} = 20$$ => Number of boys = $$31 imes 20 = 620$$
Number of girls = $$23 imes 20 + 75 = 535$$ $$ herefore$$ Number of girls who should join the college to make number of boys and girls equal = $$620 - 535 = 85$$
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Number of girls = $$23 imes 20 + 75 = 535$$ $$ herefore$$ Number of girls who should join the college to make number of boys and girls equal = $$620 - 535 = 85$$