According to an informal poll in Glenview, 1/3 of the men and 2/3 of the women saud they would vote for John Smith. On election day, one and a half times as many men as women voted. What fraction of the total vote, according to the poll, should be cast for John Smith?

Question

According to an informal poll in Glenview, 1/3 of the men and 2/3 of the women saud they would vote for John Smith. On election day, one and  a half times as many men as women voted. What fraction of the total vote, according to the poll, should be cast for John Smith?

drwls · Answer

Since there were 1.5 times as many men as women voting, 60% of the votes were by me and 40% by women.

The fraction of all votes that were for Smith was therefore:
0.6*(1/3) + 0.4(2/3) = 6/30 + 8/30 = 14/30 = 46.7%