Answer: the third person have to run [tex]4\frac{1}{2}[/tex] times to finish the race.
Explanation:
Since a race consists 10 times around a football field.
Number of times tomiko runs = [tex]3 \frac{1}{6}[/tex]
Number of times brianna runs = [tex]2\frac{1}{3}[/tex]
According to question,
[tex]3\frac{1}{6}+2\frac{1}{3}+x= 10\\\frac{19}{6}+\frac{7}{3}+x =10\\\frac{19+14}{6}+x=10\\\frac{33}{6}+x=10\\x=10-\frac{33}{6}\\x= \frac{60-33}{6}\\x=\frac{27}{6}\\x=\frac{9}{2}[/tex]
∴ x= [tex]4\frac{1}{2}[/tex] times
So, the third person have to run [tex]4\frac{1}{2}[/tex] times to finish the race.
