Question 1184634
<br><pre>
                                              Andy  Bernard  Cassandra
                                            ----------------------------
At the start, the ratio A:B:C was 3:7:5        3x      7x      5x
Andy gave 1/6 of his (0.5x) to Bernard        2.5x    7.5x     5x
Bernard gave 7/15 of his (3.5x) to Cassandra  2.5x     4x     8.5x
Cassandra gave 30 of hers to Andy             2.5x+30  4x    8.5x-30

The ratio of Andy to Bernard in the end was 5:4
{{{(2.5x+30)/(4x)=5/4}}}
{{{2.5x+30=5x}}}
{{{2.5x=30}}}
{{{x=12}}}

ANSWERS:
Andy to start: 3x=36
Bernard to start: 7x=84
Cassandra to start: 5x=60
CHECK:
Andy at end: 2.5x+30=60
Bernard at end: 4x=48
Cassandra at end: 8.5x-30=72

A:B:C at end: 60:48:72=5:4:6<pre>