[tex]\begin{gathered} 1.\text{The total number of }ski\text{ trails is 12} \\ 2.\text{ }longest\text{ ski trail =}3\frac{1}{4}=\frac{13}{4} \\ shortest\text{ ski trail =}1\frac{3}{8}=\frac{11}{8} \\ \frac{13}{4}-\frac{11}{8}=\frac{(13\cdot8)-(4\cdot11)}{(4\cdot8)}=\frac{104-44}{32}=\frac{60}{32}=\frac{15}{8} \\ \text{the difference in length is }\frac{15}{8} \\ 3.\text{ }there\text{ are 3 ski trail }that\text{ are 2}\frac{7}{8}miles \\ \text{2}\frac{7}{8}=\frac{23}{8} \\ \text{total length =3}\cdot\frac{23}{8}=\frac{69}{8}=8\frac{5}{8}miles \\ \text{the total length is }8\frac{5}{8}\text{miles} \\ 4.\text{ }longest\text{ ski trail =}3\frac{1}{4}=\frac{13}{4} \\ shortest\text{ ski trail =}1\frac{3}{8}=\frac{11}{8} \\ \frac{13}{4}+\frac{11}{8}=\frac{(13\cdot8)+(4\cdot11)}{(4\cdot8)}=\frac{104+44}{32}=\frac{148}{32}=\frac{37}{8} \\ \text{the SUM in length is }\frac{37}{8}\text{miles} \\ 5.\text{ } \\ longest\text{ ski trail =}3\frac{1}{4}=\frac{13}{4} \\ shortest\text{ ski trail =}1\frac{3}{8}=\frac{11}{8} \\ \frac{longest\text{ ski trail }}{shortest\text{ ski trai}}=\frac{13}{4}\frac{\cdot}{\cdot}\frac{11}{8}=\frac{13\cdot8}{4\cdot11}=\frac{104}{44}=\frac{26}{11}=2,36 \\ \text{Eli is correct because the longest ski trail is less than tr}ee\text{ times the legth of the shortest} \end{gathered}[/tex]
