document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138774>Question 1138774</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A sorority held a bake sale to raise money and sold brownies and chocolate chip cookies. They priced the brownies at $2 and the chocolate chip cookies at $1, raising $250 and selling 175 items. How many brownies (b) and how many cookies (c) were sold?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756555 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "b = # of brownies<BR>\n" );
document.write( "c = # of chocolate chip cookies<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Bc+=+175 ALIGN=MIDDLE  ALT=\"b%2Bc+=+175\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the total number of items sold was 175<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Bc+=+250 ALIGN=MIDDLE  ALT=\"2b%2Bc+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the total cost of the items, at $2 each for the brownies and $1 each for the cookies, was $250<br><BR>\n" );
document.write( "Solve the equations by whatever method you choose.  Elimination certainly looks the easiest, since subtracting the first equation from the second immediately give you the value of b:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+75 ALIGN=MIDDLE  ALT=\"b+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So 75 brownies and 100 chocolate chip cookies were sold.<br><BR>\n" );
document.write( "You can get the answer using virtually the same calculations informally, using logical reasoning instead of formal algebra:<br><BR>\n" );
document.write( "(1) If all 175 items were cookies, the total sales would be $175; but the actual total is $250, which is $75 more than that.<BR>\n" );
document.write( "(2) Each brownie costs $1 more than each cookie.<BR>\n" );
document.write( "(3) Therefore, to make the additional $75, the number of brownies that was sold has to be $75/$1 = 75. </SPAN>\n" );
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