Of the cars in a used-car lot, 2 over 5 are the color gray. 23
of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered?
To find the fraction of cars on the lot that are both gray and electrically powered, we need to first find the total number of cars on the lot.
If 2 out of 5 cars are gray, and we let x be the total number of cars on the lot, we can set up the following equation:
(2/5) * x = number of gray cars
Solving for x:
(2/5) * x = number of gray cars
2x = 5 * (number of gray cars)
x = 5 * (number of gray cars) / 2
x = 5 * (23) / 2
x = 115 / 2
x = 57.5
Since we can't have a fractional number of cars, we will round up to the nearest whole number. Therefore, the total number of cars on the lot is 58.
Now that we know there are 58 cars on the lot and 23 of them are gray and electrically powered, the fraction of cars that are both gray and electrically powered is:
23/58 = 0.3965 or approximately 39.65%
Therefore, approximately 39.65% of the cars on the lot are both gray and electrically powered.