Answer:
15 1/2 inches
Explanation:
We have 3 nails with a length of 1/2 in, 5 nails with a length of 1 in, and 6 nails with a length of 1 1/2 in. Therefore, their total length will be
[tex](\frac{1}{2})\cdot3+5(1)+6(1+\frac{1}{2})[/tex]which simplifies to
[tex]\frac{3}{2}+5+6+\frac{6}{2}[/tex][tex]\frac{3}{2}+11+3[/tex][tex]14+\frac{3}{2}[/tex][tex]=15\frac{1}{2}[/tex]which is our answer!
