A container is 1/3 full of water. If 20L is added, then it is 3/4 full how much litres is it when it is full?
If the volume is v, then they tell you that
v/3 + 20 = 3/4 v
20 = 5/12 v
20(12/5) = v
48 = v
A container was 1/2 filled when 200 ml of water was poured out it became 1/3 full find the capacity of the container in millimeters
v/3 + 20 = 3/4 v
20 = 5/12 v
20(12/5) = v
48 = v
To find out how many liters the container is when it is full, we can set up a proportion based on the given information.
Let's represent the number of liters when the container is full as "x".
According to the given information, the container is initially 1/3 full, which means it has (1/3)x liters of water in it.
When an additional 20 liters is added, the container becomes 3/4 full, which means it has (3/4)x liters of water in it.
We can set up the proportion:
(1/3)x + 20 = (3/4)x
Now we can solve this equation to find the value of x.
First, let's eliminate the fractions by multiplying both sides of the equation by 12 (the least common multiple of 3 and 4):
12(1/3)x + 12(20) = 12(3/4)x
4x + 240 = 9x
Next, we can isolate the variable by subtracting 4x from both sides of the equation:
240 = 9x - 4x
240 = 5x
Now, divide both sides of the equation by 5 to solve for x:
x = 240/5
x = 48
Therefore, the container is full when it contains 48 liters of water.
Answer is 48Litres but I don't have the formula.
V/2+200=1/3 V
200=1/3 V - V/2
200=V/6
V=6*200
V=1200