Answer:
The total cake make in the bakery ≅ 346 cakes
Step-by-step explanation:
Given that:
A bakery has 72 half gallons of milk
It takes [tex]1\dfrac{2}{3}[/tex] cups of milk to make the cake ;
i.e. [tex]\dfrac{5}{3}[/tex] cups of milk to make the cake after we converted the mixed fraction to an improper fraction.
Also,1 cup = [tex]\dfrac{1}{8}[/tex] half gallons = 0.125 half gallons
Thus, the amount of milk required to make the cake = [tex]\dfrac{1}{8} \times \dfrac{5}{3}[/tex]
[tex]= 0.125 \times \dfrac{5}{3}[/tex]
= 0.208
∴
The total cake make in the bakery = [tex]\dfrac{72}{0.208}[/tex]
The total cake make in the bakery = 346.15
The total cake make in the bakery ≅ 346 cakes