When 6 gallons of gasoline are put into a car's tank, the indicator goes from 1/4 of a tank to 5/8. What is the total capacity of the gasoline tank?
(5/8) - (2/8) = 3/8
3/8x = 6
x = 6 / (3/8)
x = 6 * (8/3)
x = 48/3 = 16
To find the total capacity of the gasoline tank, we need to determine the difference in volume between the indicator at 1/4 and 5/8 of a tank.
The difference between 5/8 and 1/4 can be found by subtracting 1/4 from 5/8:
5/8 - 1/4 = (5*2)/(8*2) - 1/4 = 10/16 - 4/16 = 6/16 = 3/8
Therefore, 3/8 of the tank corresponds to 6 gallons of gasoline.
To find the total capacity of the gasoline tank, we need to determine what 1/8 of the tank represents in terms of gallons. Since 1/8 is half of 1/4, and we know that 1/4 represents 6 gallons, then 1/8 represents half of that, which is 6/2 = 3 gallons.
Since 3/8 of the tank represents 6 gallons, we can determine the total capacity by multiplying the amount of 1/8 (3 gallons) by 8:
3 gallons * 8 = 24 gallons
Therefore, the total capacity of the gasoline tank is 24 gallons.