a recipe for punch calls for 4 cups of lemonade for every 6 quart of fruit juice. how many quarts of fruits juice should. elizabeth use if she has already added 10 cups of lemonade

To determine the amount of fruit juice Elizabeth should use, we need to use the ratio given in the recipe. The ratio states that for every 4 cups of lemonade, we should have 6 quarts of fruit juice.

First, let's convert the cups of lemonade to quarts by dividing by 4:
10 cups / 4 cups/quart = 2.5 quarts of lemonade

Now, we can set up a proportion to find the number of quarts of fruit juice:
4 cups of lemonade / 6 quarts of fruit juice = 2.5 quarts of lemonade / x quarts of fruit juice

To solve for x, we can cross-multiply and solve for x:
4 * x = 2.5 * 6
4x = 15
x = 15 / 4
x = 3.75

Therefore, Elizabeth needs to use 3.75 quarts of fruit juice if she has already added 10 cups of lemonade.

To find out how many quarts of fruit juice Elizabeth should use, let's start by figuring out the ratio of lemonade to fruit juice in the recipe.

The recipe states that for every 4 cups of lemonade, you need 6 quarts of fruit juice.

Now, since Elizabeth has already added 10 cups of lemonade, we can set up a proportion to determine the number of quarts of fruit juice she needs.

We know that the ratio is 4 cups of lemonade to 6 quarts of fruit juice. So, we can set it up like this:

4 cups lemonade / 6 quarts fruit juice = 10 cups lemonade / x quarts fruit juice

To solve for x (the number of quarts of fruit juice), we can cross-multiply and solve the equation:

4x = 10 * 6

4x = 60

Divide both sides by 4:

x = 60 / 4

x = 15

Therefore, Elizabeth should use 15 quarts of fruit juice if she has already added 10 cups of lemonade.

We'll be glad to critique your thinking.

4/6=3.5/x

15=x