SOLUTION: There are g green marbles, r red marbles, and b blue marbles in a bag, and the chance of draawing a blue marble is 2/5. If w white marbles are added to the bag, the chance of drawi

Algebra ->  Probability-and-statistics -> SOLUTION: There are g green marbles, r red marbles, and b blue marbles in a bag, and the chance of draawing a blue marble is 2/5. If w white marbles are added to the bag, the chance of drawi      Log On


   

Question 317178: There are g green marbles, r red marbles, and b blue marbles in a bag, and the chance of draawing a blue marble is 2/5. If w white marbles are added to the bag, the chance of drawing a blue marble becomes 1/4. What is the ratio of white marbles to blue marbles in the final bag?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.b%2F%28g%2Br%2Bb%29=2%2F5
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.
.
2.b%2F%28g%2Br%2Bb%2Bw%29=1%2F4
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.
.
From eq. 1,
2g%2B2r%2B2b=5b
2g%2B2r=3b
highlight_green%282%28g%2Br%29%29=3b
From eq. 2,
g%2Br%2Bb%2Bw=4b
g%2Br%2Bw=3b
highlight_green%282%28g%2Br%29%29%2B2w=6b
Substitute from above,
3b%2B2w=6b
2w=3b
highlight%28w%2Fb=3%2F2%29