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Answer :
Final answer:
A bakery can make C. 345 cakes with their milk supply, with each cake requiring 1 2/3 cups of milk, and given that each cup equals 1/8 half-gallon of milk.
Explanation:
The question asks how many cakes can a bakery make with the given amount of milk, when we know each cake requires 1 2/3 cups of milk. First, we need to find out how much milk there is in half-gallons if 1 cup equals 1/8 half-gallon. To make this calculation, we must convert the milk requirement of the cake recipe from cups to half-gallons.
Each cake needs 1 2/3 cups, which equals 5/3 cups. Since 1 cup equals to 1/8 half-gallon, we need to find out how many half-gallons are in 5/3 cups:
- Multiply 5/3 cups by 1/8 half-gallon per cup to get the half-gallons required for one cake: (5/3) * (1/8) = 5/24 half-gallons.
- The bakery has 72 hashbrowns, but this information is not relevant to the amount of milk and cakes, so we will ignore the number of hashbrowns.
- This means, for each half-gallon of milk, the bakery can make 24/5 cakes.
- Using the reverse calculation, for one cake we need 5/24 half-gallons of milk. To find out how many cakes can be made from 72 half-gallons, we multiply 72 by 24/5, which gives us 72 * (24/5) = 345.6.
Since the bakery cannot make a fraction of a cake, the answer would be 345 cakes.
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