Question

You want to make lemonade. You use 3/4 C of lemon juice for every 2 cups of water. How much of lemon juice and water do you need to make 33 cups of lemonade?

Answer 1

To make 33 cups of lemonade with a ratio of 3/4 cup of lemon juice for every 2 cups of water:

• 
  `Lemon \: juice \: needed: \: \: \: \: \: \: \: \: \: \: \: \: ( (3)/(4) * 33 = 24.75 ) cups`
• Water needed: ( 33 - 24.75 = 8.25 ) cups

So, you would need approximately 24.75 cups of lemon juice and 8.25 cups of water ..

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Answer 2

We solve the lemonade-making problem by setting up a proportion based on the recipe's given ratio, calculate the number of times the base mixture fits into 33 cups, and then multiply to find the necessary amounts of lemon juice and water for 33 cups of lemonade.

Step-by-step explanation:

To make lemonade using the given ratio of 3/4 cups of lemon juice for every 2 cups of water, we'll need to find out how much lemon juice and water are necessary to make 33 cups of lemonade. We can do this by setting up a proportion based on the given ratio.

First, we determine how many times the basic mixture (2 cups water + 3/4 cups lemon juice), which in total makes 2 + 3/4 = 2.75 cups of lemonade, fits into 33 cups.

The number of times the basic mixture goes into 33 cups is 33 ÷ 2.75. After calculating this, we'll know how many times we'll use 3/4 cups of lemon juice.

Next, we multiply the result by 3/4 to find the amount of lemon juice needed and by 2 to find the amount of water needed to get the total volume of lemonade we want.