A water container is 1/6 full. When 20 liters of water were added, it became 3/4 full. how many liters more is needed to fill it?
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To find out how many liters more are needed to fill the water container, we can calculate the difference between the current volume and the maximum capacity of the container.
Let's break down the information given in the problem:
1. The container is initially 1/6 full.
2. When 20 liters of water were added, it became 3/4 full.
From the information above, we can determine that 1/6 + 20 liters = 3/4.
To find the maximum capacity of the water container, we need to find the size of 1 full unit. Since 1/6 + 3/4 equals a whole number of units, the common denominator of 6 and 4 (which is 12) can help us find that number.
Multiplying 1/6 by 2/2 (which is equivalent to multiplying by 1) results in 2/12.
Multiplying 3/4 by 3/3 also results in 9/12.
Now, we have the equation 2/12 + 20 liters = 9/12.
To isolate the number of liters, we subtract 2/12 from both sides:
20 liters = 9/12 - 2/12
Calculating the subtraction, we have:
20 liters = 7/12
Since we know that 1 whole unit is equal to 12/12, we can subtract 7/12 from 12/12 to find how many liters more are needed to fill the container:
12/12 - 7/12 = 5/12
Therefore, 5/12 of a liter is needed to fill the container completely.