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? Leave your answer in simplified fraction form.(1 point)

Answer 1

Let's assume there are 100 cars on the lot.

Two-fifths of the cars are gray, which is (2/5)*100 = 40 cars.

One-third of the gray cars are electrically powered, which is (1/3)*40 = 40/3 = 13.33 cars.

However, we cannot have a fraction of a car, so the number of gray cars that are also electrically powered must be a whole number. Therefore, the maximum number of gray electric cars that we can have is 40 / 3 = 13 cars.

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

Answer 2

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