Question

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

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

Answer 1

The bakery can make option c) 345 cakes.

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(2)/(3)\text{ Gallons}`

1 Cup =
`\displaystyle(1)/(8)\text{ half gallons}`

Amount of milk required to make 1 cake =

`1\displaystyle(2)/(3)* (1)/(8) = (5)/(3)* (1)/(8) = (5)/(24)\text{ half gallons}`

Total number of cakes =

`\displaystyle\frac{\text{Total amount of milk}}{\text{Amount of milk required for 1 cake}}\\\\=(72)/((5)/(24)) = (72* 24)/(5) =345.6 \approx 345`

Hence, the bakery can make option c) 345 cakes.