Question

From school A out of 650 students , 250 were selected for essay writing and from another school B out of 750 students , 300 were selected . From which school , more students were selected ?

Answer 1

In this particular type of question, express the number of students selected for essay writing and the total number of students from each of the two schools in fraction . Then we need to compare the fractions for finding the desired answer.

Complete step-by-step answer:
Number of students selected from school A = 250 out of 650

The number of students selected from school A expressed in fraction = $\dfrac{{250}}{{650}} = \dfrac{5}{{13}}$

Number of students selected from school B = 300 out of 750

The number of students selected from school B expressed in fraction = $\dfrac{{300}}{{750}} = \dfrac{2}{5}$

On comparison ,
LCM of 13 and 5 = 65

Therefore $\dfrac{5}{{13}}$ can also be written as $\dfrac{{5 \times 5}}{{65}} = \dfrac{{25}}{{65}}$

And $\dfrac{2}{5}$ can also be written as $\dfrac{{2 \times 13}}{{65}} = \dfrac{{26}}{{65}}$
And clearly , $\dfrac{{26}}{{65}} > \dfrac{{25}}{{65}}$

Therefore school B has more students selected.

Note- We need to remember that the number of students doesn't directly tell which school has more selected students . Note that this question could also be done by finding the percentage of students got selected in each of the schools .