Question

"Suppose a town has 75 voters who can vote in an election. If the ratio of voters who do not vote to voters who do vote is 2:3, how many voters in the town vote in the election?

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A) 45 voters
B) 48 voters
C) 36 voters
D) 30 voters"

Answer 1

The answer is 45 voters vote in the election. This is found by setting up the ratio 2:3 for non-voters to voters, then solving the resulting equation for the known total number of voters (75).

Step-by-step explanation:

To determine how many voters in the town vote in the election, we need to look at the ratio of voters who do not vote to voters who do vote, which is 2:3. This means that for every 2 voters who do not vote, there are 3 voters who do vote. If we let x be the number of voters who do not vote (2 parts), then (3/2)x will be the number of voters who do vote (3 parts).

Combining both parts (those who vote and those who do not), the total is x + (3/2)x = (5/2)x, which equals the total number of voters in the town, 75. We can then write the equation (5/2)x = 75. Solving for x gives us x = (2/5) * 75, which simplifies to x = 30. Therefore, 30 voters do not vote. To find the voters who do vote, we calculate (3/2)x, which is (3/2)*30 = 45.

Thus, the answer is 45 voters vote in the election, which corresponds to option A).