A recipe for punch calls for 4 cups on lemonade for every 6 quarts of fruit juice. How many quarts of fruit juice should elly use if she has already added 10 cups of lemonade
4/24 = 10/x
4x = 240
x = 60 cups = 15 quarts
To find out how many quarts of fruit juice Elly should use, we need to use the given ratio of 4 cups of lemonade to every 6 quarts of fruit juice.
First, let's determine the ratio of cups of lemonade to quarts of fruit juice:
4 cups lemonade : 6 quarts fruit juice
Then, we can set up a proportion to find the unknown value (x represents the quarts of fruit juice Elly should use):
4 cups lemonade / 6 quarts fruit juice = 10 cups lemonade / x quarts fruit juice
Next, we can cross-multiply and solve for x:
4 * x = 6 * 10
4x = 60
To isolate x, we divide both sides of the equation by 4:
x = 60 / 4
x = 15
Therefore, Elly should use 15 quarts of fruit juice if she has already added 10 cups of lemonade.