document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173678>Question 173678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am a parent and trying to help my daugther could you help!<BR>\n" );
document.write( "1. Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $45 on a unit of plywood. How many of  each unit must be produced and sold in order to make a profit of $17160?\r<BR>\n" );
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document.write( "Snooker Lumber must produce and sell__ units of lumber and__ units of plywood to make a profit of $17160.\r<BR>\n" );
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document.write( "2. A disc jockey must play 16 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 13 min, how many 30-second commercials were played that hour? How many 60-second commercials?\r<BR>\n" );
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document.write( " How many 30-second commercials were played that hour?<BR>\n" );
document.write( "  How many 60-second commercials were played that hour?\r<BR>\n" );
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document.write( "3. A student makes a $9.50 purchase at the bookstore with a $20 bill. The store has no bills and gives the change in quarters and fifty-cent pieces. There are 30 coins in all. How many of each kind are there?<BR>\n" );
document.write( "    How many quarters are there in the change?<BR>\n" );
document.write( "    How many fifty-cent pieces are there in the change?\r<BR>\n" );
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document.write( "4. The perimeter of a rectangle is 80.m. The length is 7 m more than twice the width. Find the dimensions.<BR>\n" );
document.write( "  What is the length?   And Width?\r<BR>\n" );
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document.write( "5. Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the team have?<BR>\n" );
document.write( "   How many wins did the team have?<BR>\n" );
document.write( "   How many ties did the team have?<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 #128552 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=128552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> these problems are linear equation problems<BR>\n" );
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document.write( "1.lets call the number of units of plywood and lumber p and L respectively<BR>\n" );
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document.write( "p=3L...eq 1<BR>\n" );
document.write( "45(p)+30(L)=17160....eq 2<BR>\n" );
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document.write( "take p's value from eq 1 and plug it into all the p's in eq 2<BR>\n" );
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document.write( "45(3L)+30L=17160<BR>\n" );
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document.write( "135L+30L=17160<BR>\n" );
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document.write( "165L=17160<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=104%29 ALIGN=MIDDLE  ALT=\"highlight%28L=104%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >units of Lumber<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=3L=3%28104%29=312%29 ALIGN=MIDDLE  ALT=\"highlight%28p=3L=3%28104%29=312%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >units of plywood<BR>\n" );
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document.write( "2)lets call the 30 sec and 60 second spots t and s<BR>\n" );
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document.write( "t+s=16.......eq 1---->t=16-s<BR>\n" );
document.write( "1/2t+1s=13...eq 2---->t+2s=26(multiplied all terms by 2 to get rid of fraction)<BR>\n" );
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document.write( "t+s=16.......eq 1<BR>\n" );
document.write( "t+2s=26......eq 2 revised<BR>\n" );
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document.write( "lets subtract eq 1 from eq 2 so as to eliminate the t terms t-t=0<BR>\n" );
document.write( "we are left with 2s-s=26-16<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s=10%29 ALIGN=MIDDLE  ALT=\"highlight%28s=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >60 sec commercials<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=16-s=16-10=6%29 ALIGN=MIDDLE  ALT=\"highlight%28t=16-s=16-10=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >30 sec commercials<BR>\n" );
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document.write( "3)lets call the quarters and fifty cent pieces q and f respectively<BR>\n" );
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document.write( "q+f=30.....eq 1<BR>\n" );
document.write( ".25q+.5f=11.50....eq 2      20-9.50=change=11.50<BR>\n" );
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document.write( "lets re write eq 1 . q=30-f now take q's value and plug it into eq 2<BR>\n" );
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document.write( ".25(30-f)+.5f=11.5<BR>\n" );
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document.write( "7.5-.25f+.5f=11.5<BR>\n" );
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document.write( ".25f=4<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f=16%29 ALIGN=MIDDLE  ALT=\"highlight%28f=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >fifty cent pieces<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q=30-f=30-16=14%29 ALIGN=MIDDLE  ALT=\"highlight%28q=30-f=30-16=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >quarters<BR>\n" );
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document.write( "4)remember perimeter equals 2 times the length plus 2 times the width<BR>\n" );
document.write( "p=2L+2W where L and W are the length and width and p is the perimeter<BR>\n" );
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document.write( "2L+2W=80.....eq 1<BR>\n" );
document.write( "L=2W+7.......eq 2<BR>\n" );
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document.write( "take L's value from eq 2 and plug it into eq 1<BR>\n" );
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document.write( "2(2W+7)+2W=80<BR>\n" );
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document.write( "4W+14+2W=80<BR>\n" );
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document.write( "6W=66<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=11%29 ALIGN=MIDDLE  ALT=\"highlight%28W=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >meters in width<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=2W%2B7=2%2811%29%2B7=29%29 ALIGN=MIDDLE  ALT=\"highlight%28L=2W%2B7=2%2811%29%2B7=29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >meters in length<BR>\n" );
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document.write( "5)lets call the number of wins and ties , w and t respectively<BR>\n" );
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document.write( "2w+1t=60....eq 1<BR>\n" );
document.write( "w=t+9......eq 2<BR>\n" );
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document.write( "take w's value from eq 2 and plug it into eq 1<BR>\n" );
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document.write( "2(t+9)+t=60<BR>\n" );
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document.write( "2t+18+t=60<BR>\n" );
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document.write( "3t=42<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=14%29 ALIGN=MIDDLE  ALT=\"highlight%28t=14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >ties<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=t%2B9=14%2B9=23%29 ALIGN=MIDDLE  ALT=\"highlight%28w=t%2B9=14%2B9=23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >wins<BR>\n" );
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document.write( ":hope that helps you out </SPAN>\n" );
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