The length of the remaining part of the necklace will be 14 inch.
Explanation
Total length of the necklace is 17 inch.
She wants to make the necklace with a [tex]\frac{3}{4}[/tex] inch bead, a [tex]1\frac{1}{2}[/tex] inch bead and another [tex]\frac{3}{4}[/tex] inch bead on it.
So, the total length of all beads will be.......
[tex](\frac{3}{4}+ 1\frac{1}{2}+\frac{3}{4})inch\\ \\ = (\frac{3}{4}+\frac{3}{2}+\frac{3}{4})inch\\ \\ =(\frac{3+6+3}{4})inch = (\frac{12}{4})inch = 3 inch[/tex]
Thus, the length of the remaining part of the necklace will be: [tex](17-3)inch = 14[/tex] inch.
