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 m

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)?

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Isabelle 1 week 2021-11-19T16:57:26+00:00 1 Answer 0 views 0

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    2021-11-19T16:58:50+00:00

    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

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