Multiple choice

In a recent election, Ms. Robbins received $8,000$ votes 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 Ms. Robbins received?

  1. $0.06 N + 3,200$
  2. $0.1 N + 7,200$
  3. $0.4 N + 7,200$
  4. $0.1 N + 8,000$
  5. $0.06 N + 8,000$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Independent voters = 0.4N. Party voters = 0.6N. Ms. Robbins received 8,000 + 0.1(0.6N) = 8,000 + 0.06N.

AI explanation

Independent voters make up 40% of the total N votes, leaving 60% of N, or 0.6N, as the registered party voters. Ms. Robbins received 10% of these registered votes, which equals 0.10 * 0.6N = 0.06N. She also received 8000 votes from independent voters, so her total votes are 0.06N + 8000.