Answer:
The bakery can make option c) 345 cakes.
Step-by-step explanation:
We are given the following information in the question:
Total amount of milk bakery has = 72 half gallons
Amount of milk required to make 1 cake = \(1\displaystyle\frac{2}{3}\text{ Gallons}\)
1 Cup = \(\displaystyle\frac{1}{8}\text{ half gallons}\)
Amount of milk required to make 1 cake =
\(1\displaystyle\frac{2}{3}\times \frac{1}{8} = \frac{5}{3}\times \frac{1}{8} = \frac{5}{24}\text{ half gallons}\)
Total number of cakes =
\(\displaystyle\frac{\text{Total amount of milk}}{\text{Amount of milk required for 1 cake}}\\\\=\frac{72}{\frac{5}{24}} = \frac{72\times 24}{5} =345.6 \approx 345\)
Hence, the bakery can make option c) 345 cakes.
