Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2026 - Free AFCT Practice Questions and Study Guide

To determine what percentage of the acreages is destroyed, you can use the formula for calculating percentage:

\[ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 \]

In this scenario, the "part" is the 35 acres that are destroyed, and the "whole" is the total of 42 acres. Plugging these values into the formula gives:

\[ \text{Percentage} = \left( \frac{35}{42} \right) \times 100 \]

First, you calculate the fraction \( \frac{35}{42} \). To simplify, divide both the numerator and denominator by their greatest common divisor, which is 7:

\[ \frac{35 \div 7}{42 \div 7} = \frac{5}{6} \]

Next, multiply this fraction by 100 to convert it into a percentage:

\[ \frac{5}{6} \times 100 \approx 83.33\% \]

Thus, approximately 83.33% of the acreages is destroyed, confirming that the second choice is the correct answer.

This process demonstrates how to accurately find a