document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437098>Question 437098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jennifer went on a shopping spree, spending a total of 124.00 on a skirt, a sweater and a pair of shoes. The cost of the sweater was 8/7 of the cost of the skirt. The shoes cost 8.00 less then the skirt. Find the cost of each item </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302326 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = price of skirt<BR>\n" );
document.write( "y = price of sweater<BR>\n" );
document.write( "z = price of shoes<BR>\n" );
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document.write( "We're told...<BR>\n" );
document.write( "x + y + z = 124<BR>\n" );
document.write( "y = 8/7*x<BR>\n" );
document.write( "z = x -8 or x = z+8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now we have y and z defined in terms of x.<BR>\n" );
document.write( "So, we can put them all together with what we know.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x + 8/7*x + (x-8) = 124<BR>\n" );
document.write( "Multiply both sides by 7 to eliminate the denominator<BR>\n" );
document.write( "7x + 8x + 7(x-8) = 7*124<BR>\n" );
document.write( "15x + 7x -56 = 868<BR>\n" );
document.write( "22x = 868 + 56<BR>\n" );
document.write( "22x = 924<BR>\n" );
document.write( "x = 42<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The skirt cost $42.<BR>\n" );
document.write( "The shoes cost $8 less than the skirt, 42-8 = 34.<BR>\n" );
document.write( "The shoes cost $34.<BR>\n" );
document.write( "The total is $124, so the sweater cost 124 - 42 - 34 = 48.<BR>\n" );
document.write( "The sweater cost $48.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Always check your answer!<BR>\n" );
document.write( "There's no need to check the total, since we plugged it into the equations to ensure it was 124.<BR>\n" );
document.write( "Likewise, there's no need to check the shoes, since we did the same.<BR>\n" );
document.write( "So, we're left with calculating the price of the sweater to see if it matches.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "8/7*x = 8/7*42<BR>\n" );
document.write( "8/7*42 = 8*6<BR>\n" );
document.write( "8*6 = 48<BR>\n" );
document.write( "That checks.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Always make sure your answer is stated clearly.<BR>\n" );
document.write( "The skirt cost $42.<BR>\n" );
document.write( "The shoes cost $34.<BR>\n" );
document.write( "The sweater cost $48.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );