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A bakery has sent me [tex]\frac{2}{2}[/tex] gallons of milk. It takes [tex]1 \frac{2}{3}[/tex] cups of milk to make a cake. Knowing that one cup equals 180 ml, how many cakes can the bakery make?

Answer :

Final answer:

With approximately 16 cups of milk (1 gallon), and each cake requiring 1 2/3 cups of milk, a bakery can bake approximately 9 cakes, showcasing the practical application of conversion factors.

Explanation:

The bakery has 2/2 (or 1) gallons of milk and the recipe for one cake requires 1 2/3 cups. With a gallon of milk comprising 16 cups, the bakery can make multiple cakes. This is a clear example of using conversion factors to solve the problem.

First, convert the gallons of milk to cups: 1 gallon = 16 cups, so the bakery has 16 cups of milk. Since it takes 1 2/3 cups to bake one cake, we'll divide the 16 cups by 1 2/3 to determine the number of cakes that can be baked. The result (approximately 9.6) means that the bakery can bake approximately 9 cakes, with some milk left over.

This effectively demonstrates the practical application of conversion factors in everyday life, particularly in cooking and baking where measurements are key. It's important to accurately convert between different units to ensure the consistency and success of the end product.

Learn more about Conversion Factors here:

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