document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103274>Question 103274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Regular marbles sell at 100 for $2.00. Large marbles (shooters) sell at 25 for $2.00. To the nearest whole marble, how many of each kind should be used to make a package of 100 marbles selling for $3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75096 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=75096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Regular marbles sell at 100 for $2.00. Large marbles (shooters) sell at 25 for $2.00. To the nearest whole marble, how many of each kind should be used to make a package of 100 marbles selling for $3?<BR>\n" );
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document.write( "Regular marbles cost $0.02 a piece.<BR>\n" );
document.write( "Shooters cost $0.08 a piece.<BR>\n" );
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document.write( "Let # of regular marbles be \"x\" ; value of these is 0.02x dollars<BR>\n" );
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document.write( "# of shooters is \"100-x\" ; value of these is 0.08(100-x)= 8-0.08x dollars<BR>\n" );
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document.write( "# in mixture is 100 ; value = $3<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "value + value = value<BR>\n" );
document.write( "0.02x + 8-0.08x = 3<BR>\n" );
document.write( "-0.06x = -5<BR>\n" );
document.write( "x = 83 1/3 (number of regular marbles)<BR>\n" );
document.write( "100-x = 16 2/3 ( number of shooters)<BR>\n" );
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document.write( "Comment: The value of x and 100-x should turn out to be whole numbers.<BR>\n" );
document.write( "Check your problem statement to see if you have the correct data.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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