# a sports stadium is 80% of its full capacity for a concert at the end of the event patrons leave the stadium through various exits at tharate of 10 patrons per second after 15minutes the stadium is 70% of its full capacity the number of patrons in the stadium 25 minutes after concert is

$Rateofexit=10patronspersec\phantom{\rule{0ex}{0ex}}Soin15minutes,numberofpatronsthatexit=10patrons/sec\times 15\times 60=9000patrons\phantom{\rule{0ex}{0ex}}Letthefullcapacityofthestadium=x\phantom{\rule{0ex}{0ex}}So,numberofpersonsthatexitthestadium=80\%ofx-70\%ofx=10\%ofx=\frac{10}{100}x=\frac{x}{10}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{x}{10}=9000\phantom{\rule{0ex}{0ex}}\Rightarrow x=90,000\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}So,thefullcapacityofstadium=90,000$

Regards,

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