When 12 gallons of diesel are put into a truck's tank , the indictor goes from 1/2 tank to 7/8 what is the total capacity of the diesal tank ?
12 gallons = 3/8 tank
12/(3/8) = x/(8/8)
(3/8)x = 12
x = 12/(3/8)
x = 12 * (8/3)
x = 32
7/8 - 1/2 = 3/8
3/8 * c = 12
To find the total capacity of the diesel tank, we can use the given information that when 12 gallons of diesel are added, the indicator goes from 1/2 tank to 7/8 tank.
Let's set up an equation to solve for the total capacity of the tank.
First, we need to find the increase in the tank level when 12 gallons of diesel are added. This is calculated by subtracting the initial tank level from the final tank level.
Final tank level - Initial tank level = Increase in tank level
The initial tank level is 1/2, and the final tank level is 7/8.
7/8 - 1/2 = Increase in tank level
To subtract these fractions, we need a common denominator. The common denominator of 2 and 8 is 8.
(7/8) - (4/8) = Increase in tank level
Now let's subtract the fractions.
3/8 = Increase in tank level
So, when 12 gallons of diesel are added, the tank level increases by 3/8 of the tank capacity.
To find the total capacity of the diesel tank, we need to find how many increments of 3/8 make up the entire tank.
Let's represent the total capacity of the tank as x.
(3/8) * x = 12
To isolate x, we multiply both sides of the equation by 8/3.
x = (12 * 8) / 3
x = 96 / 3
x = 32
Therefore, the total capacity of the diesel tank is 32 gallons.