Question

a public house (bar) opens 7 days a week. It has an average weekly demand of 9350 liters of beer. There are 2100 liters of beer in the cellar. On average, how many weeks ( 2 decimal places) is a glass (250mls) of beer in the cellar before it is sold to a customer?

Answer 1

A glass of beer is in the cellar for an average of 0.22 weeks before being sold to a customer. This is calculated by dividing 8400 glasses in the cellar by a weekly demand of 37400 glasses.

Step-by-step explanation:

The student is asking to calculate the average amount of time a glass of beer is in the cellar before being sold to a customer. To find this, we use the average weekly demand and the amount of beer in the cellar. First, calculate the number of glasses in 2100 liters (there are 4 glasses in a liter since each glass is 250ml), which gives us 8400 glasses. Since the a public house (bar) opens 7 days a week with a demand of 9350 liters weekly, we divide the total glasses in the cellar by the number of glasses demanded per week (9350 liters times 4 glasses per liter). This will tell us how many weeks, on average, a glass of beer remains in the cellar. With the numbers given, we can now calculate it.

Calculating the average weeks:

1. Number of glasses in the cellar: 2100 liters * 4 glasses per liter = 8400 glasses.
2. Weekly glasses demand: 9350 liters * 4 glasses per liter = 37400 glasses.
3. Average weeks in the cellar: Number of glasses in the cellar / Weekly glasses demand = 8400 glasses / 37400 glasses = 0.2245 weeks.

Therefore, on average, a glass of beer is in the cellar for 0.22 weeks before it is sold to a customer.