Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Study for the AFCT Arithmetic Reasoning Test. Explore in-depth questions, enhance problem-solving skills with hints and detailed explanations. Ace your assessment!

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If 270 sq ft is equivalent to 3/4 acre, how many acres do you have with 4,230 sq ft?

11.75 acres
12 acres
11 acres
10 acres

The correct answer is: 11.75 acres

To determine how many acres are represented by 4,230 square feet when 270 square feet corresponds to 3/4 acre, first, we need to establish the size of one acre in square feet. Since 270 square feet equals 3/4 acre, we can find the size of one full acre by using the proportion: 1 acre = (270 sq ft) / (3/4) = 270 sq ft * (4/3) = 360 sq ft. Now that we know there are 360 square feet in one acre, we can find how many acres correspond to 4,230 square feet. This can be calculated by dividing the total square feet by the square footage in one acre: 4,230 sq ft / 360 sq ft per acre = 11.75 acres. Therefore, 4,230 square feet is equivalent to 11.75 acres, making that the correct answer.