High School

C&A purchases 1200 pounds of milk per day to make ice cream. On average, C&A uses 12 pounds of milk to make one gallon of ice cream in 4 hours. How many gallons of ice cream are being made on average at any one time if C&A operates for 8 hours a day?

A. 25
B. 50
C. 100
D. 120
E. Cannot be determined

Answer :

Final answer:

To determine the amount of ice cream being made at any one time by C&A, the total milk used per day is divided by the milk required per gallon, then divided by the number of production periods in the operating day. The calculation yields 50 gallons of ice cream being made at any one time.

Explanation:

To calculate how many gallons of ice cream are being made at any one time, we need to consider the total milk used per day and the time it takes to produce ice cream:

C&A purchases 1200 pounds of milk per day.

It takes 12 pounds of milk to make one gallon of ice cream.

One gallon of ice cream is made in 4 hours.

C&A operates for 8 hours a day.

First, let's find out how many gallons are made per day:

(1200 pounds of milk per day) / (12 pounds of milk per gallon) = 100 gallons per day.

Since C&A operates for 8 hours a day, we'll divide the total gallons by 2 because the production period of 4 hours fits twice into the operating time:

(100 gallons per day) / 2 = 50 gallons being made at any one time.

The correct answer is B. 50.

Answer:

Option (B) 50

Step-by-step explanation:

Data provided in the question:

Milk used per day = 1200 pound of milk

Number of pounds of milk required to make 1 gallon = 12

Number of pounds hours per day required = 1200 pound × 4 hours

= 4800 pounds-hours required per day

Therefore,

For 8 hours a day, total pounds of milk required

= [ pounds-hours required per day ] ÷ 8 hours

= 4800 ÷ 8

= 600 pounds

Hence,

600 pounds will make = 600 ÷ 12

= 50 gallon of ice cream

Option (B) 50