<PRE><B>Question 458815</B>
THERE IS A BAG FULL OF MARBLES AND THERE ARE 3 DIFFERENT COLORS OF MARBLES RED, YELLOW AND BLUE. WE HAVE TO FIGURE OUT THE TOTAL AMOUNT OF MARBLES IN BAG AND HOW MANY MARBLES ARE THERE FOR EACH COLOR. 
THE ODDS AGAINST GETTING RED IS 6:5 
AND ODDS AGAINST GETTING BLUE IS 3:7 
AND ODDS AGAINST GETTING YELLOW IS X:10. 
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Probability of red is 5/11
Probability of blue is 7/10
Probability of yellow is 10/(x+10)
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Equation:
(5/11) + (7/10) + 10/(x+10) = 1
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Multiply thru by 11*10*(x+10) to get:
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5*10(x+10) + 7*11(x+10) + 10*11*10 = 11*10*(x+10)
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50(x+10) + 77(x+10) + 10*11*10 = 110(x+10)
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17(x+10) = 1100
x+10  = 64.7
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Note: That should turn out to be a whole number.
Please check your problem statement and my arithmetic.
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Cheers,
Stan H.</PRE>