A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1/8 half gallon=0.125 half gallon. How many cakes can the bakery make?

Respuesta :

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