document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256063>Question 256063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On Friday, the With-It Clothiers sold some jeans at $25 a pair and some shirts at $18 each. receipts for the day totaled $441. On Saturday the store priced both items at $20, sold exactly the same number of each item, and had receipts of $420. How many pairs of jeans and how many shirts were sold each day?\r<BR>\n" );
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document.write( "if some tutor cold help me applying a algebra formula or some this would be very helpful though i can solve the problem i would really want to know how to solve it by algebra means THANKS! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188233 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So how did you solve it, if not by algebra?<BR>\n" );
document.write( "25x+18y=441<BR>\n" );
document.write( "By graphing we see that integers are 9 for x and 12 for  y<BR>\n" );
document.write( "25*9+12*18=441<BR>\n" );
document.write( "225+216=441<BR>\n" );
document.write( "or we can substitute x's and y's and find integers<BR>\n" );
document.write( "y=(441-25x)/18<BR>\n" );
document.write( "y = 49/2-(25x)/18<BR>\n" );
document.write( "we also know that x is either odd or even<BR>\n" );
document.write( "if even then 25x ends in 0<BR>\n" );
document.write( "if odd then 25x ends in 5<BR>\n" );
document.write( "so we need 18y that ends in 1 441-1 so 25x can end in 0 or 6 so 25x can end in 5<BR>\n" );
document.write( "There are none that end in 1 so x must be odd\r<BR>\n" );
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document.write( "18*2=36 441-36=405 not divisible by 25<BR>\n" );
document.write( "18*7=126 441-26=415 not divisible by 25<BR>\n" );
document.write( "18*12=216 441-216=225 9*25=225<BR>\n" );
document.write( "25q=450=18 so x can be max of 17\r<BR>\n" );
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document.write( "25*18=450<BR>\n" );
document.write( "so y can be 24 max<BR>\n" );
document.write( "1<x<17<BR>\n" );
document.write( "1<y<24<BR>\n" );
document.write( "x must be odd<BR>\n" );
document.write( "y ends in 2 or 7<BR>\n" );
document.write( "x=1,3,5,7,9,11,13,15,17<BR>\n" );
document.write( "y=2,7,12,17,22\r<BR>\n" );
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document.write( "20z+20z=420<BR>\n" );
document.write( "40z=420<BR>\n" );
document.write( "4z=42<BR>\n" );
document.write( "2z=21<BR>\n" );
document.write( "z=10.50<BR>\n" );
document.write( "So either your numbers are wrong or they sold half a pair of jeans and half a shirt. <BR>\n" );
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