Question 1120585
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A careful reading of the problem shows that we can consider the number of blue and red beads as a single number.  So then<br>
let g = # of green beads
then 522-g = # of blue and red beads<br>
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<br>
At that time, the ratio of red and blue beads to green beads was 3:5<br>
{{{(560-g)/3g = 3/5}}}
{{{9g = 2800-5g}}}
{{{14g = 2800}}}
{{{g = 200}}}<br>
The original number of green beads was 200, so the original number of red and blue beads was 522-200 = 322.