Question

In a local town, 5 of the voting-age population is registered to vote. If 1/4 of the registered voters voted in the election for mayor, what fraction of the voting-age population voted?

A) 1/4 of the voting-age population voted
B) 5/4 of the voting-age population voted
C) 1/20 of the voting-age population voted
D) 5/20 of the voting-age population voted

Answer 1

When assuming that 5 represents the entirety of the voting-age population being registered to vote, and knowing that 1/4 of registered voters actually voted, we can multiply these fractions to find that 1/4 of the voting-age population voted in the mayoral election. Hence, the correct answer is A) 1/4 of the voting-age population voted.

Step-by-step explanation:

To find out what fraction of the voting-age population voted in the local election for mayor, we start with the information that 5 of the voting-age population is registered to vote (it appears there may be a typo here and it should likely be 5/5 or 1, meaning the entire voting-age population is registered due to the absence of a specific fraction or percentage). Then, if 1/4 of the registered voters actually voted, we calculate the fraction of the total voting-age population that voted by multiplying these two fractions together:

• Total voting-age population registered to vote = 5/5 (assuming 5 is a typo for the whole or 100%).
• Fraction of registered voters who voted = 1/4.

When we multiply these fractions, we get:

5/5 × 1/4 = 1/4

This means that 1/4 of the voting-age population voted in the mayoral election. Therefore, the correct answer is A) 1/4 of the voting-age population voted.