Question

In a certain city, 60 percent of the registered voters are party b supporters and the rest are party a supporters. In an assembly election, if 75 percent of the registered party b supporters and 20 percent of the v registered party a supporters are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?

Answer 1

To determine the total percentage of registered voters expected to vote for candidate a, calculate the percentage of each party's supporters that will vote for candidate a and add these together. This results in 53% of registered voters expected to vote for candidate a.

Step-by-step explanation:

In the city, 60% of registered voters support party b, meaning that 40% support party a. If 75% of the party b supporters and 20% of the party a supporters are expected to vote for candidate a, we can calculate the total percentage of voters expected to vote for candidate a as follows:

First, find the amount of party b supporters that will vote for candidate a: 0.60 (proportion of party b supporters) * 0.75 (proportion voting for candidate a) = 0.45 or 45% of registered voters.

Next, find the amount of party a supporters that will vote for candidate a: 0.40 (proportion of party a supporters) * 0.20 (proportion voting for candidate a) = 0.08 or 8% of registered voters.

Adding both results, we get 0.45 + 0.08 = 0.53 or 53%.

So, 53% of the registered voters are expected to vote for candidate a.

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