monirjewel
In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
(A) 0.06N+3200
(B) 0.1N+7200
(C) 0.4N+7200
(D) 0.1N+8000
(E) 0.06N+8000
We are given that Ms. Robinson received 8,000 votes cast by independent voters and 10% of the votes cast by voters affiliated with a party.
Since N is the total number of votes and 40% of the votes were cast by independent voters, 60% of the votes were cast by voters affiliated with a party.
Since Ms. Robinson received 10% of the votes cast by voters affiliated with a party, she received (0.1)(0.6)N = 0.06N of the votes by voters who are affiliated with a party. Since she also received 8,000 votes from independent voters, she received 0.06N + 8,000 total votes.
Answer: E