Question

of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. what fraction of the cars on the lot are both gray and electrically powered

Answer 1

Let's assume that there are a total of 100 cars in the used-car lot.

The number of gray cars would be 2/5 * 100 = <<2/5*100=40>>40 cars.
Out of the 40 gray cars, 1/3 * 40 = <<1/3*40=13.333333333333334>>13.33 (rounded to nearest whole number) cars are electrically powered.

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 13/100.