Final answer:
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.