1. We need to find the distance jumped by the Gold winner, we know that the total distance jumped by three athletes is 25.04, so we can subtract the distances from the Silver and Bronze winners in order to determine what we want. This is done below:
[tex]\begin{gathered} \text{Gold}=25.04-8.37-8.29 \\ \text{Gold}=8.38 \end{gathered}[/tex]Now we need to represent this number as a fraction in its simplest form.
[tex]\text{Gold}=\frac{838}{100}=\frac{419}{50}[/tex]2. In order to determine which medal he would receive, we need to add the distance he actually jumped by 0.06 and compare to the table. We have:
[tex]d=8.25+0.06=8.31[/tex]He would win a Bronze medal.
3. In order to determine how farther Athlete B jumped more than Athlete D, we need to subtract their distances.
[tex]d=8.37-8.11=0.26[/tex]The athlete B jumped 0.26 meters farther than Athlete D.