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September 2, 2014

September 2, 2014

Posted by **Adi** on Saturday, March 3, 2012 at 3:33am.

How many marbles did jose start with?

- math -
**BOB**, Saturday, March 3, 2012 at 9:46amx= total marbles

x-(1/4)x what he had after 1st round

(x-(1/4)x)-1/3(x-(1/4)x) what he had left after 2nd

(x-(1/4)x)-1/3(x-(1/4)x)-1/2((x-(1/4)x)-1/3(x-(1/4)x)) what he had left after 3rd round which equals 2 (the one he gave to Shavana and the one he kept)

(x-(1/4)x)-1/3(x-(1/4)x)-1/2((x-(1/4)x)-1/3(x-(1/4)x))=2

solving:

x-(1/4)x-(1/3)x+(1/12)x-(1/2)x+(1/8)x+(1/6)x-(1/24)x=2

Factoring out x and making like fractions

x(1-6/24-8/24+2/24-12/24+3/24+4/24-1/24)=2

x(24/24-6/24-8/24+2/24-12/24+3/24+4/24-1/24)=2

x(33/24-27/24)=2

(1/4)x=2

x=8

SO HE START WITH 8

he lost 2 the first round leaving him with 6

he lost (1/3) of 6 the 2nd round leaving him with 4

and he lost (1/2) the 3rd round leaving him with 2

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