Of the cars in a used-car lot, 2 over 5 are the color gray. 2 over 3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered?

Question

Of the cars in a used-car lot, 2 over 5 are the color gray. 2 over 3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered?

1 over 15

2 over 15

4 over 15

1 over 2

Answer 1

2 over 15

Calculations:
Total cars = 5
Gray cars = 2
Electrically powered gray cars = (2/5) * (2/3) = 4/15

Fraction of cars on the lot that are both gray and electrically powered = 4/15