Liam has a lemonade stand. To make the lemonade he mixed water and lemon juice at a ratio of 4 to 2. How many cups of water and lemon juice are needed to make 36 cups of lemonade?
start with
4x+2x = 36
24
but i need help with this
Carl made 6 pitchers of lemonade for his lemonade stand. Each pitcher made 12 glasses of lemonade. He charged 75¢ for a glass of lemonade. How much money did he make when he had sold all of the lemonade?
To find out how many cups of water and lemon juice are needed, we need to determine the ratio that corresponds to 36 cups of lemonade.
The given ratio is water to lemon juice is 4 to 2, which can be simplified to 2 to 1. This means for every 2 cups of water, we need 1 cup of lemon juice.
Since the ratio is 2 to 1, we can divide the 36 cups of lemonade into groups of three (2 cups of water and 1 cup of lemon juice).
To calculate the number of groups, we divide 36 by 3:
36 / 3 = 12
Therefore, we need 12 groups of 2 cups of water and 1 cup of lemon juice.
To find the total amounts needed, we multiply each component by the number of groups, which is 12 in this case:
Water: 2 cups * 12 groups = 24 cups
Lemon juice: 1 cup * 12 groups = 12 cups
So, to make 36 cups of lemonade, Liam will need 24 cups of water and 12 cups of lemon juice.