find the capacity of an oil tank if an addition of 15 gallons raises the reading from 1/4 full to 5/8 full
5/8 - 1/4 = 3/8
So,
3/8 x = 15
To find the capacity of the oil tank, we can use a proportion based on the change in the tank's reading.
Let's assume the capacity of the oil tank is represented by "C" (in gallons).
According to the information given, the reading goes from 1/4 full to 5/8 full when an addition of 15 gallons is made.
The change in filling level is 5/8 - 1/4 = 3/8.
So, we can set up a proportion:
(Change in Filling Level) / (Total Capacity) = (Amount Added) / (x)
where x represents the total capacity in gallons.
Plugging in the known values:
3/8C = 15
To solve for C, we need to isolate it.
Multiply both sides of the equation by 8/3:
C = (15) * (8/3)
C = 40
Therefore, the capacity of the oil tank is 40 gallons.
To find the capacity of the oil tank, we can use the information provided in the question.
Given:
- An addition of 15 gallons raises the reading from 1/4 full to 5/8 full.
First, let's determine the difference in the tank's fill level after the addition of 15 gallons. The difference in fill level is calculated by subtracting the initial fill level (1/4) from the final fill level (5/8).
Final fill level - Initial fill level = Difference in fill level
Convert the fractions to have a common denominator:
5/8 - 1/4 = (5/8) - (2/8) = 3/8
So, the difference in fill level is 3/8 of the tank's capacity.
We know that this difference corresponds to 15 gallons of oil. Therefore, we can set up a proportion to find the capacity of the tank.
Difference in fill level / Tank's capacity = 15 gallons / x
Substituting the values we have:
3/8 = 15 gallons / x
To solve for x (the tank's capacity), we can cross-multiply and solve for x:
3x = 8 * 15
3x = 120
x = 120 / 3
x = 40
Therefore, the capacity of the oil tank is 40 gallons.