Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

If 35 acres are destroyed out of 42, what percent of the acres are destroyed?

1. 70%

2. 80%

3. 83 1/3%

4. 90%

The correct answer is: 83 1/3%

To determine the percentage of acres that are destroyed, you can use the formula for percentage, which is: \[ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \] In this case, the part is the number of acres destroyed, which is 35, and the whole is the total number of acres, which is 42. Substituting these values into the formula gives: \[ \text{Percentage} = \left(\frac{35}{42}\right) \times 100 \] First, calculate the fraction: \[ \frac{35}{42} = \frac{5}{6} \] Now, multiply by 100 to convert it to a percentage: \[ \frac{5}{6} \times 100 = 83.33\% \] To express this as a fraction in mixed number form, 83.33% can be represented as \( 83 \frac{1}{3}\% \). Therefore, the correct answer is that 83 and 1/3 percent of the acres are destroyed. This option accurately reflects the calculation of the destroyed acres when compared to