SOLUTION: Hi there were a total of 522 blue , red and green beads in a box. After 66 blue beads were removed and 104 red beads were added and the number of green beads were tripled, the rat

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Question 1120585: Hi
there were a total of 522 blue , red and green beads in a box. After 66 blue beads were removed and 104 red beads were added and the number of green beads were tripled, the ratio of red and blue beads to green beads was 3:5. How many red and blue beads were in the box at first.
thanks
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A careful reading of the problem shows that we can consider the number of blue and red beads as a single number. So then

let g = # of green beads
then 522-g = # of blue and red beads

After the changes to the number of beads,
the # of green beads is 3g
the # of blue and red beads is (522-g)-66+104 = 560-g

At that time, the ratio of red and blue beads to green beads was 3:5

%28560-g%29%2F3g+=+3%2F5
9g+=+2800-5g
14g+=+2800
g+=+200

The original number of green beads was 200, so the original number of red and blue beads was 522-200 = 322.