Hello there. To solve this question, we'll have to remember some properties about mixed fractions.
Given that Barbara times is 3/10, Donna is 2 4/5, and Nicole 2 1/10, knowing the team's total was 11 3/5, we have to determine Cindy's time.
Supposing Cindy's time is x minutes, then we have the following equation:
[tex]\frac{3}{10}+2\frac{4}{5}+2\frac{1}{10}+x=11\frac{3}{5}[/tex]Remember a mixed fraction is a fraction such that
Therefore we have
[tex]\frac{3}{10}+2+\frac{4}{5}+3+\frac{2}{5}+2+\frac{1}{10}+x=11+\frac{3}{5}[/tex]And this gives us
[tex]\frac{86}{10}+x=\frac{58}{5}[/tex]Subtract 86/10 on both sides of the equation
[tex]x=\frac{58}{5}-\frac{86}{10}=\frac{116}{10}-\frac{86}{10}=\frac{30}{10}=3[/tex]So Cindy's time was 3 minutes.
