Question

Of the cars in a used-car lot, 25 are the color gray. 13 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.(1 point)

Answer 1

To find the fraction of the cars on the lot that are both gray and electrically powered, we need to know the total number of cars on the lot. However, from the information provided, we only know the number of gray cars and the number of those that are electrically powered.

1. **Number of gray cars**: 25
2. **Number of gray cars that are electrically powered**: 13

The fraction of cars that are both gray and electrically powered is given by the number of gray electrically powered cars divided by the total number of gray cars:

\[
\text{Fraction of cars that are both gray and electrically powered} = \frac{\text{Number of gray electrically powered cars}}{\text{Total number of gray cars}} = \frac{13}{25}
\]

Since we don't have the total number of cars in the lot (which is necessary to compute an overall fraction), we will assume you're only asking about the fraction of the gray cars that are electrically powered.

Thus, the fraction of the cars that are both gray and electrically powered is:

\[
\frac{13}{25}
\]

This fraction is already in simplified form.