An empty fuel tank is filled with brand Z gasoline.
An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand x gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand x gasoline. At this time, what percent of the gasoline in the tank is brand Z?
Answer/Solution
37.5%
Steps/Work
Work with fraction of brand Z in the tank.
1st step: brand Z is 1
2nd step: brand Z is 1/2
3rd step: brand Z is (1/2)*(1/2) + 1/2 = 3/4
4th step: brand Z is (1/2)*(3/4) = 3/8 = 37.5%
Answer (B)
1st step: brand Z is 1
2nd step: brand Z is 1/2
3rd step: brand Z is (1/2)*(1/2) + 1/2 = 3/4
4th step: brand Z is (1/2)*(3/4) = 3/8 = 37.5%
Answer (B)