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Answer :
Final answer:
To make 16 ounces of chocolate milk from a recipe that uses 120 ounces of milk and 20 teaspoons of cocoa powder, you would need approximately 2 and 2/3 teaspoons of cocoa powder. This is found using a proportion to adjust the cocoa powder quantity proportionally to the decrease in milk quantity.
Explanation:
The question is asking how to adjust the amount of cocoa powder needed in a recipe for chocolate milk when changing from a large quantity of milk to a smaller one.
Since the original recipe calls for 120 ounces of milk and 20 teaspoons of cocoa powder, we need to find out how many teaspoons of cocoa powder would be needed for 16 ounces of milk.
To do this, we will use a proportion based on the ratios given in the recipe.
Let's set up the proportion as follows:
120 oz milk / 20 tsp cocoa = 16 oz milk / x tsp cocoaCross-multiplying to solve for x gives us:
120x = 16 × 20
120x = 320
Divide both sides by 120:
x = 320 / 120
x = 2.667
Therefore, approximately 2 and 2/3 teaspoons (or 2.667 teaspoons) of cocoa powder are needed to make 16 ounces of chocolate milk.
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