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

Answer:

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

=109:67

Step-by-step 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 $\frac{15}{10}$

and in 60 minutes the number of arrival home team fans is $\frac{15 \times 60}{10}$  

                                                                                                 =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 $\frac{5}{10}$  fans leave of away team  leave.

and In 60 minutes $\frac{5\times 60}{10}$ =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