Edited the question. Initially crucial part "or against" was omitted.
seofah wrote:
Of the 4,800 voters who voted for or against Resolution K, 1,800 were Democrats, and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K?
(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K.
(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females.
This one is fairly straightforward question. We don't even need matrix/diagram or any calculation.
(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K --> no info about female voters. Not sufficient.
(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females --> no info about how many Democrats/Republicans voted for. Not sufficient.
(1)+(2) From (1) we know how many Democrats/Republicans voted for and from (2) we know what fraction of each of these group were females, thus we can get exact # of females who voted for. Sufficient.
Answer: C.
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