Question

At 7:00 p.m., there are 1,000 home-team fans and 700 away-team fans at a football game. After 7:00 p.m, 15 home team fans arrive every ten minutes and 5 away team fans leave every ten minutes. What is the ratio of home-team fans to away-team fans at 8:00 p.m. (in fraction form)?

Answer 1

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=109:67

Explanation:

Initially , total home team fans =1000

and away team fans = 700.

7:00 pm to 8:00 pm = 1 hour = 60 minutes

Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is
`(15)/(10)`

and in 60 minutes the number of arrival home team fans is
`(15 * 60)/(10)`

=90

Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team leave.

then in 1 minutes
`(5)/(10)` fans leave of away team leave.

and In 60 minutes
`(5* 60)/(10)` =30 fans leave of away team leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

=109:67