In a recipe for lemonade it gives the ingredients as 1 cup of water,1.5 tablespoons lemon juice, plus sugar and salt.Not taking into account the sugar and salt, what is the concentration of lemon juice in the mixture as a percentage by volume?
16 tablespoons = 1 cup.
Please give full explanation!!!
1.5/16 = 0.09375 = 9.38%
To calculate the concentration of lemon juice in the mixture as a percentage by volume, we need to first determine the volume of the mixture and the volume of the lemon juice.
1. Find the volume of the lemon juice:
The recipe states that 1.5 tablespoons of lemon juice are used. Since 16 tablespoons equal 1 cup, we can convert the volume of lemon juice to cups:
1.5 tablespoons ÷ 16 tablespoons/cup = 0.09375 cups
So, the volume of lemon juice in the mixture is 0.09375 cups.
2. Find the volume of the mixture:
The recipe states that 1 cup of water is used. Since no other ingredients contribute to the volume significantly, we can assume that the final volume of the mixture is 1 cup.
3. Calculate the concentration of lemon juice:
To determine the concentration of lemon juice as a percentage by volume, we need to divide the volume of lemon juice by the volume of the mixture, and then multiply by 100:
(0.09375 cups ÷ 1 cup) × 100 = 9.375%
Therefore, the concentration of lemon juice in the mixture is approximately 9.375% by volume.