Question

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?

Answer 1

To find the number of cakes, multiply the number of half gallons of milk by 2/3, and then divide the total number of cups by 1 2/3.

Step-by-step explanation:

To find the number of cakes the bakery can make, we need to determine how many cups of milk are available from the 72 half gallons of milk.

Since 1/8 of a half gallon is 0.125 half gallons, we can multiply 0.125 by 72 to find the total number of half gallons of milk.

Then, we can multiply the number of half gallons by 2/3 (or 1 2/3 cups of milk per cake) to find the total number of cups of milk available.

Finally, we divide the total number of cups by 1 2/3 to find the number of cakes the bakery can make.

Answer 2

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
`1(2)/(3)` cups of milk to make the cake ;

i.e.
`(5)/(3)` cups of milk to make the cake after we converted the mixed fraction to an improper fraction.

Also,1 cup =
`(1)/(8)` half gallons = 0.125 half gallons

Thus, the amount of milk required to make the cake =
`(1)/(8) * (5)/(3)`

`= 0.125 * (5)/(3)`

= 0.208

∴

The total cake make in the bakery =
`(72)/(0.208)`

The total cake make in the bakery = 346.15

The total cake make in the bakery ≅ 346 cakes