If Tomiko runs three and one-sixth times and Brianna runs two and two-thirds times around the field
Tomiko runs three and one-sixth times = [tex]3\frac{1}{6} =\frac{19}{6}[/tex]
Brianna runs two and two-thirds times =[tex]2\frac{2}{3} =\frac{8}{3}[/tex]
relay race consists of ten times around a football field
Tomiko + Brianna + third person = 10
Let the third person is x
[tex]\frac{19}{6} + \frac{8}{3} +x = 10[/tex]
Take common denominator LCD, that is 6
Multiply the whole equation by 6
19 + 16 + 6x = 60
35 +6x = 60
6x = 25
[tex]x=\frac{25}{6} = 4\frac{1}{6}[/tex]
The third person have to run[tex]4\frac{1}{6}[/tex] times to finish the race
