nick's diner advertise fresh squeezed orange juice every day of the year. he serves twenty-four 8-ounce glasses of juice a day. nick knows it takes three 6-ounce oranges to make one 8-ounce glass of juice. nick orders oranges by cases that have 24 oranges and weigh a total of 9 pounds. omar, nick's best customer, said to nick, "you must go through like 1000 pounds of oranges in an entire week." nick thought about the estimate and decided the estimate was too high even for all the oranges he used in a month.

freshie fresh oranges
quantity: 1 case
contents: 24 fresh oranges
net weight: 9 pounds

nick's diner
fresh squeezed orange juice

every 8 ounce glass
is made from the juice of 3 six ounce freshly squeezed oranges.

nick uses only freshie fresh oranges

based on the information given how many pounds of oranges does nick use in a month?

use mathematical reasons to show why nick is correct.

show the steps you followed to determine your answer.

you may use diagrams to help explain.

To determine how many pounds of oranges Nick uses in a month, we need to calculate the number of glasses of orange juice he serves in a month and then convert that to pounds of oranges.

First, let's calculate the number of glasses Nick serves in a month:

Since Nick serves 24 glasses of orange juice per day and there are 365 days in a year, we can calculate the number of glasses served in a month by multiplying the number of glasses served in a day by the number of days in a month:

Number of glasses served in a month = 24 glasses/day * 30 days/month (assuming a 30-day month)
Number of glasses served in a month = 720 glasses/month

Now let's calculate the number of oranges needed to make 720 glasses of juice:

Since it takes 3 oranges to make 1 glass of juice, we multiply the number of glasses by 3 to determine the total number of oranges needed:

Total number of oranges needed = 720 glasses * 3 oranges/glass
Total number of oranges needed = 2,160 oranges

Finally, let's convert the number of oranges to pounds:

Since each case of oranges contains 24 oranges and weighs 9 pounds, we can determine the number of cases needed by dividing the total number of oranges by the number of oranges per case:

Number of cases needed = 2,160 oranges / 24 oranges/case
Number of cases needed = 90 cases

Now we can calculate the total weight of oranges needed by multiplying the number of cases by the weight per case:

Total weight of oranges needed = 90 cases * 9 pounds/case
Total weight of oranges needed = 810 pounds

Therefore, Nick uses 810 pounds of oranges in a month. Based on this calculation, it is clear that Omar's estimate of 1000 pounds in a week is too high even for all the oranges Nick uses in a month.