Johnny suffers from Flu an average of 5 times per week. However, Tony claims that Johnny rarely suffers from fewer than 15 bouts flu per week. If Johnny has been suffering from flu for 180 weeks, at a minimum, how many of those weeks has he suffered from fewer
than 15 bouts of flu?
To find out how many weeks Johnny has suffered from fewer than 15 bouts of flu, we need to determine the minimum number of weeks he has experienced this.
Given that Johnny suffers from flu an average of 5 times per week and has been suffering from flu for 180 weeks, we can calculate the total number of flu bouts he has experienced as follows: 5 bouts/week * 180 weeks = 900 bouts.
Now, let's assume that Johnny suffers from fewer than 15 bouts of flu for x number of weeks. This means that the remaining weeks, 180 - x, he suffers from 15 or more bouts of flu.
According to Tony's claim, Johnny rarely suffers from fewer than 15 bouts of flu per week. Therefore, we can conclude that x is the minimum number of weeks, and the remaining 180 - x weeks are the weeks where Johnny had at least 15 bouts of flu.
To find the minimum value of x, we set up the following inequality: x >= 180 - x.
Simplifying the inequality, we get: 2x >= 180.
Dividing both sides of the inequality by 2, we have: x >= 90.
So, at a minimum, Johnny has suffered from fewer than 15 bouts of flu for 90 weeks.