Question

Karen, Janet, Brian, and José ran for class president, Jose received 29% of the vote and Janet received 12%. What percentages could Brian and Karen have received? (apex)

A. 46% and 43%
B. 41% and 28%
C. 36% and23%
D. 56% and 33%

Answer 1

Brian and Karen could have received 36% and 23% of the votes, respectively. These are the only percentages that, when added to the votes received by Jose and Janet, equal 100% of the votes.

Step-by-step explanation:

The question asks us to determine what percentages Brian and Karen could have received in a class president election where Jose received 29% of the vote and Janet received 12%. To solve this, we need to add up the percentages Jose and Janet received, and subtract from 100% to find out the remaining percentage that could be divided between Brian and Karen.

Jose received 29% and Janet received 12%, so together they have:

29% + 12% = 41%

Subtracting this from 100%:

100% - 41% = 59%

This means that Brian and Karen together must divide the remaining 59% of the vote. The correct answer will have two percentages that add up to 59%.

Checking the given options:

• A. 46% + 43% = 89% (Too high)
• B. 41% + 28% = 69% (Too high)
• C. 36% + 23% = 59% (Correct total)
• D. 56% + 33% = 89% (Too high)

The only possible percentages that Brian and Karen could have received, based on the provided options, are 36% and 23%, which corresponds to option C.