SOLUTION: I have an unlimited number of bags containing marbles. Each bag contains only two colors - black and one other color. Some have 45% aquamarine marbles. Some have 45% blue marbl

Question 735606: I have an unlimited number of bags containing marbles.
Each bag contains only two colors - black and one other color.
Some have 45% aquamarine marbles.
Some have 45% blue marbles
Some have 60% cyan marbles
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:
15% aquamarine marbles
15% blue marbles
20% cyan marbles
(based on the relationship that the final bag contains the 300 marbles so the percentages of each is calculated as total color marble/300).
If I enter a ratio of 2:1:2 then my final percentages are:-
18% aqua marbles
9% blue marbles
24% cyan marbles
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:-
10% aquamarine marbles
5% blue marbles
20% cyan marbles
(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)
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
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