Question

Swim Teams Of the 20 students on the girls’ swim team, 9 are seniors. Of the 24 students on the boys’ swim team, 10 are seniors. On which team is the fraction of students who are seniors greater?

Short answer

The Girls team have the fraction of students who are senior greater.

Step-by-step solution

Step 1. Given information

In swim team of 20 girl students there are 9 seniors and in another team of 24 boys students are 10 seniors.

Step 2. Calculation 

To evaluate the fraction of senior students in boys team and girls team, divide the no of seniors by the total students as provided

Therefore,

$\begin{array}{c}Thefractionofstudentsingirlsteamwhoaresenior=\frac{seniorgirlstudents}{totalgirlstudents}\\ Thefractionofstudentsingirlsteamwhoaresenior=\frac{9}{20}\\ =0.45\\ Thefractionofstudentsinboysteamwhoaresenior=\frac{seniorboysstudents}{totalboysstudents}\\ Thefractionofstudentsinboysteamwhoaresenior=\frac{10}{24}\\ =0.41\overline{6}\end{array}$

By comparing two fraction

$\frac{9}{20}>\frac{10}{24}$

The fraction of senior students in girls team is greater than the fraction of senior students in boys team.

Hence,

The Girls team have the fraction of students who are senior greater.