2013 AMC 12A Problems/Problem 3
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We are given that 6/10, or 3/5 of the flowers are pink, so we know 2/5 of the flowers are red.
Since 1/3 of the pink flowers are roses, 2/3 of the pink flowers are carnations.
We are given that 3/4 of the red flowers are carnations.
The number of carnations are
(3/5 pink flowers)(2/3 carnations) + (2/5 red flowers)(3/4 carnations) = 2/5 + 3/10 = 7/10 = 70%, or E
