Question

Of the 30 girls who tried out for lacrosse team at euclid middle school ,12 were selected .of the 40 boys who tried out 16 were selected .and the ratio of the number of studets on the team to the number of students trying out the same for both boys and girls ? how do you know

Answer 1

Calculation for Girls
30 ÷6= 5
12 ÷6 =2 

∴For Girls 2:5

Calculation for Boys
40 ÷ 4 = 10
16 ÷ 4 = 4

∴ For Boys 4:10---- which = 2:5
If u divided both 4 and 10 by 2

∴Both have the same ratio of 2:5

Answer 2

Ratio of students selected on the team / the number of students trying out...

boys : 
on the team -- 16
trying out -- 40
ratio is : 16/40 which reduces to 2/5

girls :
on the team -- 12
trying out -- 30
ratio is : 12/30 which reduces to 2/5

so yes, the ratios are the same because in both boys and girls, the number of players selected was 2/5 of the total who tried out.