Question

A bakery is 72 hashbrowns, and to make a cake, it takes 1 2/3 cups of milk. Note that one cup equals 1/8 half gallons. How many cakes can the bakery make?

Options:
A. 43 cakes
B. 288 cakes
C. 345 cakes
D. 576 cakes

Answer 1

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.

Step-by-step 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:

1. 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.
2. 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.
3. This means, for each half-gallon of milk, the bakery can make 24/5 cakes.
4. 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.