Question 1014305
Jane purchased a skirt, sweater and a pair of shoes for $138. The sweater is 9/8 of the cost  of the skirt. The shoes cost $13 more than the skirt? How much is the cost per item?
<pre>Let price of the skirt be S
Then cost of sweater is: {{{(9/8)S}}}, or {{{9S/8}}}
Cost of shoes: S + 13
We then get: {{{S + 9S/8 + S + 13 = 138}}}
{{{2S + 9S/8 = 138 - 13}}}
{{{2S + 9S/8 = 125}}}
16S + 9S = 1,000 ------- Multiplying by LCD, 8
25S = 1,000
S, or cost of skirt = {{{matrix(1,1,"1,000"/25)}}} = {{{highlight_green("$"40)}}}
Cost of sweater: {{{(9/8) * 40}}} = {{{highlight_green("$"45)}}}
Cost of shoes: 40 + 13 = {{{highlight_green("$"53)}}}