document.write( "Question 269360: There are 16 red, 16 blue and 16 yellow marbles in a jar. What is the fewest marbles you can remove from the jar so that the ratio of red to non-red marbles is 13 to 29 and the ratio of yellow to non-yellow marbles is 13 to 29? \r
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Algebra.Com's Answer #197430 by Edwin McCravy(20062) $\"\"$ $\"About$

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There are 16 red, 16 blue and 16 yellow marbles in a jar. What is the fewest marbles you can remove from the jar so that the ratio of red to non-red marbles is 13 to 29 and the ratio of yellow to non-yellow marbles is 13 to 29?
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document.write( "We must end up with a multiple of 13 reds and a multiple of 13 yellows.\r\n" );
document.write( "Since we only have 16 of each, the only possible multiple of 13 we\r\n" );
document.write( "could have of each is 13 itself.  So it is only possible that we remove\r\n" );
document.write( "3 reds and 3 yellows.  \r\n" );
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document.write( "To have the desired ratio, we must end up with 29 non-reds and 29 \r\n" );
document.write( "non-yellows. So let's see how many, if any blue marbles we need to \r\n" );
document.write( "remove to have 29 non-reds and 29 non-yellows.  It turns out that we \r\n" );
document.write( "already have 29 of each of these since 13+16=29.  So we don't need to \r\n" );
document.write( "remove any blue marbles.\r\n" );
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document.write( "Answer:  Remove 3 reds and 3 yellows only. Then we have 13 reds, 13 yellows,\r\n" );
document.write( "13+16 or 29 non-reds and 13+15=29 non-yellows.\r\n" );
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document.write( "Edwin

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