Question

Of the cars in a used car lot 2/5 are 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? Leave your answer in simplified fraction form

Answer 1

Let's say there are a total of N cars on the used car lot.

2/5 of the cars on the lot are gray, so the number of gray cars is (2/5)N.

Out of the gray cars, 1/3 are electrically powered. So the number of gray and electrically powered cars is (1/3)(2/5)N = (2/15)N.

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.