cindy is making a fruit juice drink . the recipe calls for 5 parts apple juice and 3 parts pineapple juice. cindy puts 2 1/2 cups of apple juice into a pitcher .cindy wants the juice drink in her pitcher to taste the same as the drink in the recipe . how much pineapple juice does she need to mix into the pitcher ?
Cindy is making a fruit juice drink. The recipe calls for 5 parts apple juice and 3 parts pineapple juice. Cindy puts 2.5 cups of apple juice into a pitcher. Cindy wants the juice drink in her pitcher to taste the same as the drink in the recipe. How much pineapple juice does she need to mix into the pitcher? The answer is 1.5 cups. Explain why.
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To determine the amount of pineapple juice that Cindy needs to mix into the pitcher, we can use a ratio based on the parts mentioned in the recipe.
The recipe states that the ratio of apple juice to pineapple juice is 5:3. This means that for every 5 parts of apple juice, there are 3 parts of pineapple juice.
Cindy has already added 2 1/2 cups of apple juice to the pitcher. To maintain the same ratio, we need to figure out how many parts of pineapple juice are equivalent to this amount of apple juice.
Since there are 5 parts of apple juice in the ratio, we can divide 2 1/2 cups of apple juice by 5 to find the equivalent amount for a single part.
2 1/2 cups ÷ 5 = 1/2 cup
So, 1/2 cup of apple juice represents one part of the ratio.
Now, since Cindy has already added 2 1/2 cups of apple juice, which is equivalent to 5 parts, she needs to add 3 parts of pineapple juice.
To find the amount of pineapple juice needed, we multiply the amount of apple juice for a single part (1/2 cup) by the number of parts of pineapple juice required (3).
1/2 cup * 3 = 1 1/2 cups
Therefore, Cindy needs to mix in 1 1/2 cups of pineapple juice into the pitcher.