prernamalhotra wrote:A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x % of the black-and-white films and all of the color films, what fraction of the selected films are in color?
1) 1/130
2) 1/5
3) 3/13
4) 10/13
5) 30/31
Let y=100 and x=1, with the result that (y/x)% = (100/1)% = 100%.
Implication:
Since (y/x)% of the black-and-white films are selected, 100% of the black-and-white films are selected.
Since 100% of the color films are also selected, ALL OF THE FILMS ARE SELECTED.
Number of black-and-white films = 20x = 20*1 = 20.
Number of color films = 6y = 6*100 = 600.
color/total = 600/620 = 30/31.
The correct answer is
E.
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