maaadhu wrote:
Bunuel wrote:
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.
Bunuel,
If required, what is the best way to draw a matrix for this problem?
Hi maaadhu,
I will give it a short
We need to find no. of female voters who voted for Resolution K
Given No. of Voters: 4800
Democrats: 1800
Republicans: 3000
From st 1 we have the following matrix
Matrix St 1 For Against Total
Democrats 1350 450 1800
Republicans 2000 1000 3000
Total 3350 1450 4800
Now we can't tell no. of female voters from the above
From St 2, the matrix says
Matrix St 2 Male Female Total
Democrats who voted for Res.K 2/3A 1/3A A
Republicans who voted for Res. K 1/2B 1/2B B
Where A and B total no. of voters for who voted for Resolution K. for Demo. And Rep.
Again we cannot tell no. of Female voters as it will be 1/3A +1/2B
Combining 2 statements, we get value of A and B as 1350 and 2000 from Matrix 1
Matrix 3 Male Female Total
Demcrats 900 450 1350
Repulicans 1000 1000 2000
Total who voted 1900 1450 3350
Ans: 1450
Therefore Option C
Apologies if the Matrix is not clear. Please refer to attachment
Attachments
Matrix.doc [31 KiB]
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