document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214155>Question 214155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cadence has a collection of 52 dolls that all have either blue eyes or green eyes.<BR>\n" );
document.write( "Cadence has 16 more blue-eyed dolls than green-eyed dolls<BR>\n" );
document.write( "a Write a system of equations that describes the above situation. Define your  variables carefully using let statements.<BR>\n" );
document.write( "b Using the system from part (a), find the number of each type of doll. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162389 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.<BR>\n" );
document.write( "Let x=number of green eyed dolls<BR>\n" );
document.write( "Ane let y=number of blue-eyed dolls\r<BR>\n" );
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document.write( "Now we are told the following:<BR>\n" );
document.write( "x+y=52----------------------------------eq1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y=x+16------------------------------------eq2\r<BR>\n" );
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document.write( "b.  <BR>\n" );
document.write( "substitute y=x+16 from eq2 into eq1:<BR>\n" );
document.write( "x+x+16=52 subtract 16 from each side<BR>\n" );
document.write( "x+x+16-16=52-16  collect like terms<BR>\n" );
document.write( "2x=36  divide each side by 2<BR>\n" );
document.write( "x=18--------------------------number of green-eyed dolls<BR>\n" );
document.write( "substitute x=18 into eq2<BR>\n" );
document.write( "y=18+16=34----------------------number of blue-eyed dolls\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "18+34=52<BR>\n" );
document.write( "52=52<BR>\n" );
document.write( "and<BR>\n" );
document.write( "18+16=34<BR>\n" );
document.write( "34=34\r<BR>\n" );
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document.write( "THIS PROBLEM CAN ALSO BE SOLVED USING ONE EQUATION AND ONE UNKNOWN:\r<BR>\n" );
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document.write( "Let x=number of green-eyed dolls<BR>\n" );
document.write( "Then 52-x=number of blue-eyed dolls<BR>\n" );
document.write( "Now we are told that:<BR>\n" );
document.write( "x+16=52-x add x to and subtract 16 from each side <BR>\n" );
document.write( "x+x+16-16=52-16-x+x  collect like terms<BR>\n" );
document.write( "2x=36-------------------same as before\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );