Answer:5.625 tablespoons of lemon juice will be used.
Step-by-step explanation:
To find the amount of lemon juice used in 2 1/2 pitchers of lemonade, we need to consider the ratio of glasses of lemonade to tablespoons of lemon juice.
Given that 4 1/2 glasses of lemonade fill a pitcher, we can determine the number of glasses of lemonade in 2 1/2 pitchers by multiplying the number of pitchers by the number of glasses per pitcher:
2 1/2 pitchers = (2 + 1/2) pitchers = 2.5 pitchers
2.5 pitchers * 4 1/2 glasses per pitcher = (2.5 * 4) + (2.5 * 1/2) = 10 + 1.25 = 11.25 glasses
So, there are 11.25 glasses of lemonade in 2 1/2 pitchers.
Now, we need to determine the number of tablespoons of lemon juice for 1 glass of lemonade. Given that it takes 1/2 tablespoon of lemon juice per glass of lemonade, we can calculate the total amount of lemon juice used in 11.25 glasses of lemonade:
11.25 glasses * 1/2 tablespoon per glass = 11.25 * 1/2 = 5.625 tablespoons
Therefore, in 2 1/2 pitchers of lemonade, approximately 5.625 tablespoons of lemon juice will be used.
Step-by-step explanation:
By considering the ratio of glasses of lemonade to tablespoons of lemon juice, we determined that there are 11.25 glasses of lemonade in 2 1/2 pitchers. Multiplying this by the amount of lemon juice per glass (1/2 tablespoon), we found that approximately 5.625 tablespoons of lemon juice will be used in 2 1/2 pitchers of lemonade.