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In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 92 hats in this group, how many of these hats are not blue?
and the fraction that are purple is
. Thus, the fraction that are green or purple is
.
. To simplify this expression, factor 92 as 23 x 4 and cancel a 23 from both the numerator and denominator. So, 64, which is choice (D)