Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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In a town of 30,000 voters, if the ratio of residents in favor of a city proposal to those against is 6 to 4, how many are in favor?

12,000 voters
10,500 voters
18,000 voters
15,000 voters

The correct answer is: 18,000 voters

To find out how many voters are in favor of the city proposal, we first need to understand the ratio of residents in favor to those against. The ratio given is 6 to 4, which indicates that for every 6 residents who favor the proposal, there are 4 who oppose it. To work with this ratio, we can add the parts of the ratio together: 6 + 4 = 10 parts total. The fraction of voters in favor can then be calculated by taking the number of parts in favor (6) and dividing it by the total number of parts (10). This gives us the equation for voters in favor: \[ \text{Voters in favor} = \frac{6}{10} \times \text{Total voters} \] Substituting in the total number of voters (30,000): \[ \text{Voters in favor} = \frac{6}{10} \times 30,000 = 0.6 \times 30,000 = 18,000 \] Thus, the calculation confirms that 18,000 voters are in favor of the proposal. This aligns with the correct choice indicated.