SOLUTION: A bowl contains red marbles and green marbles. Sue knows there are 150 red marbles. After mixing the marbles, she randomly selects 50 marbles, 15 of which are red. Approximately ho

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Question 966349: A bowl contains red marbles and green marbles. Sue knows there are 150 red marbles. After mixing the marbles, she randomly selects 50 marbles, 15 of which are red. Approximately how many total marbles are in the bowl?
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Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
A bowl contains red marbles and green marbles. Sue knows there are 150 red marbles. After mixing the marbles, she randomly selects 50 marbles, 15 of which are red. Approximately how many total marbles are in the bowl?
Assuming that the ratio of red to green marbles is the same in the sample selected (50) as in the bowl.

In the sample, 15 out of 50 are red. i.e. fraction of red marbles = 15%2F50+=+3%2F10
Totally there are 150 red marbles. If this is also 3/10 of the total marbles in the bowl, and assuming total marbles are x, we get an equation

x+%2A+3%2F10+=+150
x+=+150%2A10%2F3+=+500

So there are approximately highlight%28500%29 marbles in the bowl.

Hope this helps.