The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?

Question

The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?​

GPT 3.5 · Answer

To find the average number of shoppers in the new store at any time, we need to calculate the number of shoppers who enter the store per hour and multiply it by the average time each shopper spends in the store.

The number of shoppers who enter the new store per hour is 90.
Each shopper stays for an average of 12 minutes, which is equivalent to 12/60 = 1/5 of an hour.
So, the average number of shoppers in the new store at any time is 90 * 1/5 = <<90*1/5=18>>18.

Let's assume that the average number of shoppers in the original store at any time is x.

To calculate the percentage difference between the average number of shoppers in the new store and the original store, we can use the formula: (x - 18) / x * 100.

Simplifying this expression gives us: (x - 18) / x * 100 = (x * 100 - 1800) / x.

Therefore, the average number of shoppers in the new store at any time is (x * 100 - 1800) / x percent less than the average number of shoppers in the original store at any time.