2/3 of girls are dancing with 3/5 of the boys what fraction of the students are dancing

Answer 1

2/3*G = 3/5*B

All of them is G+B

G = (3/5)(3/2)B

= 9/10*B

So All of them=

G + B =

(9/10)B + B = (9/10)B + 1*B

= (9/10)B + (10/10)B

= (19/10)B

All of them = G+B = (19/10)B

(10/19) * All of them = B

So 10/19 of them are boys and 9/19 of them are girls

Dancing girls are (2/3)(9/19) = 18/57 = 6/19

Dancing boys are (3/5)(10/19) = 30/95 = 6/19

So 6/19 + 6/19 = 12/19 of them are dancing