Bobo the clown always likes to wear one white sock and one black sock. If he changes his socks every day, and at the end of several days finds that he has used exactly 1/5 of his white socks and 5/8 of his black socks, what fraction of all of his socks has he used?
I did the same thing you did and got it rong before I asked for help and 6/13 is rong
DOH...I wasn't thinking!!!
He has worn the same number.....so
(1/5)W = (5/8)B multiply both sides by 5
W = (25/8)B
So....he has 25 white and 8 black
So....after 5 days he has worn 5 white = (1/5) of the white and 5 black = 5/8 of the black
So.....he has worn [ 5 + 5 ] / [ 25 + 8 ] = 10 / 33 of the total