document.write( "Question 735606: I have an unlimited number of bags containing marbles. \n" );
document.write( "Each bag contains only two colors - black and one other color. \n" );
document.write( "Some have 45% aquamarine marbles. \n" );
document.write( "Some have 45% blue marbles \n" );
document.write( "Some have 60% cyan marbles\r \n" );
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document.write( "If I take one bag of each color and mix all three bags together in a larger bag (in a ratio of 1:1:1) then the resultant bag would contain the following of each color represented as a percentage: \n" );
document.write( "15% aquamarine marbles \n" );
document.write( "15% blue marbles \n" );
document.write( "20% cyan marbles\r \n" );
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document.write( "(based on the relationship that the final bag contains the 300 marbles so the percentages of each is calculated as total color marble/300).\r \n" );
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document.write( "If I enter a ratio of 2:1:2 then my final percentages are:- \n" );
document.write( "18% aqua marbles \n" );
document.write( "9% blue marbles \n" );
document.write( "24% cyan marbles\r \n" );
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document.write( "What ratio of my original bags would I need to combine together to have a new bag containing a final percentage of the color marbles equaling:- \n" );
document.write( "10% aquamarine marbles \n" );
document.write( "5% blue marbles \n" );
document.write( "20% cyan marbles\r \n" );
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document.write( "(I can use part of an original bag but must use the original percentage of black and color marbles e.g. I could use half of a blue bag which would yield 27.5 black marbles and 22.5 blue marbles) \n" );
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