Bunuel
Of the 3,600 registered voters in Smith County who took part in the county referendum on altering the property tax exemption, 2,400 were Democrats and 1,200 were Republicans. What was the total number of female voters who voted in favor of the exemption?
(1) The number of female Democrats who voted in favor of the exemption was three times the number of female Republicans who voted in favor of the exemption.
(2) The 150 male Republicans who voted in favor of altering the exemption represented 2/5 of all Republicans who voted in favor of altering the exemption.
Given: 3600 registered voters. Who are further divided into 2400 Democrats (D) and 1200 Republicans (R).
lets denote male and female as M and F respectively. Further supporters of tax exemption be denoted with s and non supporters as n.
DM has two sub sects DMS and DMN. Similarly, DF also has DFS and DFN.
RM has two sub sects RMS and RMN. Similarly, RF also has RFS and RFN.
we need to find: number of female voters voted in favour = DFS + RFS.
STATEMENT 1: (1) The number of female Democrats who voted in favor of the exemption was three times the number of female Republicans who voted in favor of the exemption.
DFS = 3* RFS
This statement is NOT SUFFICIENT to answer the question.
STATEMENT 2:
(2) The 150 male Republicans who voted in favor of altering the exemption represented 2/5 of all Republicans who voted in favor of altering the exemption.
RMS = 150 and this 150 = 2/5 ( all republicans who voted in favour= RMS + RFS).
150 = 2/5 * (150 + RFS).
solving it we get RFS = 225.
Standalone this statement is also NOt SUFFICIENT.
Combining Statement 1 and Statement 2
DFS = 3* RFS
RFS = 225.
Hence DFS = 3*225 = 675
total female voters who supported the exemption = DFS + RFS = 675+ 225 = 900.
Hence
answer C[b]Rohit_842 hope this clears ur doubt. [/b]
You're considering "in favour of exemption" same as "in favour of altering the exemption" if they both are the same then ofcourse both statements together are sufficient. But I infer them to be different as in "in favour of altering the exemption" to be non supporters denoted by n