The ratio of milk to water in a container is 5:1 by volume. If the total volume of the mixture is 9 liters, find the volume of water in it.
9/(5+1) = 1.5
1.5 * 5 = 7.5
1.5 * 1 = 1.5
7.5 + 1.5 = 9
To solve this problem, we can set up a proportion using the given ratio and the total volume of the mixture.
Let's assign variables to the volumes of milk and water in the mixture. Let M represent the volume of milk and W represent the volume of water.
The ratio of milk to water is 5:1, which means that M/W = 5/1.
We also know that the total volume of the mixture is 9 liters, so we have the equation M + W = 9.
To find the volume of water in the mixture, we need to isolate the variable W in one of the equations.
We can start by rearranging the first equation to solve for M:
M/W = 5/1
M = 5W
Now we substitute this expression for M in the second equation:
5W + W = 9
6W = 9
Next, we solve for W by dividing both sides of the equation by 6:
W = 9/6
W = 1.5
Therefore, the volume of water in the mixture is 1.5 liters.