A pitcher contains a liquit mixture of water and lemon juice.
The water makes up 2/5 of the weight of the liquid mixture.
There are 30 ounces of water in the pitcher. How much lemon juice is in the pitcher?
(3/5) * 30 = ?
Ms. Sue - Thank you!
You're welcome, Mia.
To find out how much lemon juice is in the pitcher, we need to first determine the total weight of the liquid mixture.
We know that the water makes up 2/5 of the weight of the mixture. Since we have 30 ounces of water, we can set up the following equation:
2/5 * Total weight = 30 ounces
To solve for the total weight, we need to isolate it.
First, we multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(2/5 * Total weight) * (5/2) = 30 * (5/2)
Canceling out the common factors, we get:
Total weight = (30 * 5) / 2
Total weight = 150 / 2
Total weight = 75 ounces
Now that we know the total weight of the liquid mixture is 75 ounces, we can find out the amount of lemon juice in the pitcher. Since the water makes up 2/5 of the mixture, the lemon juice makes up 3/5 of the mixture.
To find the amount of lemon juice, we subtract the weight of the water from the total weight of the mixture:
Amount of lemon juice = Total weight - Weight of water
Amount of lemon juice = 75 ounces - 30 ounces
Amount of lemon juice = 45 ounces
Therefore, there are 45 ounces of lemon juice in the pitcher.