A factory can fill 225 bottles of orange juice each hour. Each bottle of juice contains 24 fluid ounces of juice. Each bottle of juice sells for $5.50. How many pints of juice are filled in each 12-hour shift?

4050 pints

Some information provided is irrelevant to the problem. The question asks how many pints are filled for each 12-hour shift.

Relevant information

Fact

One pint is the same as 16 fluid ounces.

Plan

Calculate the total number of bottles the factory can produce in 12 hours. Then, convert the total number of bottles to the total number of fluid ounces. Lastly, convert fluid ounces to pints.

Solution

If then factory can produce 225 bottes in one hour, then, in 12 hours, 225*12=2700 bottles are produced. Since each bottle is 24 fluid ounces, then the factory produced 2700*24=64800 fluid ounces in total. Converting this to pints, the factory produced 64800/16=4050 pints

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b