<PRE><B>Question 1160953</B>
Elise saved $184.
She bought a scarf, a necklace, and a notebook.
After her purchases, she still had $39.50.
 Therefore the total for purchases: 184 - 39.50 = $144.50
let s = cost of scarf
let n = cost of necklace
let b = cost of notebook
s + n + b = 144.50
:
 The scarf cost three-fifths the cost of the necklace,
s = {{{3/5}}}n
find n in terms of s
{{{3/5}}}n = s
3n = 5s
n = {{{5/3}}}s
:
 the notebook was one-sixth as much as the scarf.
b = {{{1/6}}}s
:
replace n and b in the first equation
s + {{{5/3}}}s + {{{1/6}}}s = 144.50
multiply by 6 get rid of the denominators
6s + 2(5s) + s = 6(144.50)
6s + 10s + s = 867
17s = 867
s = 867/17
s = $51 for the scarf
then
n = {{{5/3}}}*51
n = $85 for the necklace
and
b = {{{1/6)))*51
b = $8.50 for notebook
:
How much more did the necklace cost than the notebook
85 - 8.50 = $76.50 more for the necklace
</PRE>