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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 

 Apr 29, 2019
 #1
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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

 

cool cool cool

 Apr 29, 2019

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