2 1/4 feet of ribbon ---> 1 bow
7 1/2 feet of ribbon ---> x bows
[tex]\begin{gathered} 2\text{ }\frac{1}{4}\times x=7\text{ }\frac{1}{2}\times1 \\ \frac{9}{4}x=\frac{15}{2} \\ \frac{9}{4}x\times\frac{4}{9}=\frac{15}{2}\times\frac{4}{9} \\ x=\frac{10}{3}=3\text{ }\frac{1}{3} \end{gathered}[/tex]answer: 3 1/3 of bows