document.write( "Question 1184634: Andy, Bernard and Cassandra shared a number of sweets in the ratio 3:7:5. Andy
\n" ); document.write( "gave $\"1%2F6\"$ of his sweets to Bernard. Bernard then gave $\"7%2F15\"$ of his sweets to Cassandra.
\n" ); document.write( "Cassandra then gave 30 of her sweets to Andy. If the ratio of the number of sweets
\n" ); document.write( "Andy had to the number of sweets Bernard had to the number of sweets Cassandra
\n" ); document.write( "had in the end was 5:4:6, how many sweets did each person have at first? \n" ); document.write( "

Algebra.Com's Answer #815302 by greenestamps(13200) $\"\"$ $\"About$

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document.write( "                                              Andy  Bernard  Cassandra
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document.write( "At the start, the ratio A:B:C was 3:7:5        3x      7x      5x
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document.write( "Andy gave 1/6 of his (0.5x) to Bernard        2.5x    7.5x     5x
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document.write( "Bernard gave 7/15 of his (3.5x) to Cassandra  2.5x     4x     8.5x
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document.write( "Cassandra gave 30 of hers to Andy             2.5x+30  4x    8.5x-30\r
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document.write( "The ratio of Andy to Bernard in the end was 5:4
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document.write( "ANSWERS:
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document.write( "Andy to start: 3x=36
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document.write( "Bernard to start: 7x=84
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document.write( "Cassandra to start: 5x=60
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document.write( "CHECK:
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document.write( "Andy at end: 2.5x+30=60
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document.write( "Bernard at end: 4x=48
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document.write( "Cassandra at end: 8.5x-30=72\r
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document.write( "A:B:C at end: 60:48:72=5:4:6
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