document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321410>Question 321410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) A silversmith has two alloys, one containing 30% silver and the other,55%. How much of each should be melted and combined to obtain 100 grams containing 45% silver?\r<BR>\n" );
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document.write( "2) A cellular phone company charges customers a certain amount for the first minute of a long distance call and an additional amount for each suceeding ...minute. A customer makes two calls to the same city, a 33-minute call for Php 269 and a 19-minute for Php 157. How much does the cellular phone company charge for the first minute? for each succeding minute?\r<BR>\n" );
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document.write( "3) A swimming pool can be filled by three water pipes, A,B and C. Pipe C alone can fill the pool in 8 hours. If pipes B and C are used together, the pool can be filled in 6 hours. If pipes A and B are used together, it takes 10 hours. How long does it take to fill the pool if all three pipes are used?\r<BR>\n" );
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document.write( "i need ur help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230343 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.A silversmith has two alloys, one containing 30% silver and the other, 55%.<BR>\n" );
document.write( " How much of each should be melted and combined to obtain 100 grams containing 45% silver?<BR>\n" );
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document.write( "Let x = amt of 55% alloy<BR>\n" );
document.write( "Total amt will be 100 gr, therefore<BR>\n" );
document.write( "(100-x) = amt of 30% alloy required<BR>\n" );
document.write( "A typical mixture equation, using decimals<BR>\n" );
document.write( ".55x + .30(100-x) = .45(100)<BR>\n" );
document.write( ".55x + 30 - .30x = 45<BR>\n" );
document.write( ".55x - .30x = 45 - 30<BR>\n" );
document.write( ".25x = 15<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F.25 ALIGN=MIDDLE  ALT=\"15%2F.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 60 gr of 55% alloy<BR>\n" );
document.write( "then<BR>\n" );
document.write( "100 - 60 = 40 gr of 30% alloy<BR>\n" );
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document.write( "2) A cellular phone company charges customers a certain amount for the first<BR>\n" );
document.write( " minute of a long distance call and an additional amount for each succeeding  minute.<BR>\n" );
document.write( " A customer makes two calls to the same city, a 33-minute call for Php 269<BR>\n" );
document.write( " and a 19-minute for Php 157. <BR>\n" );
document.write( "How much does the cellular phone company charge for the first minute? for each succeeding minute?<BR>\n" );
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document.write( "Let x = amt charged for 1st min<BR>\n" );
document.write( "Let y = amt charged for each succeeding min<BR>\n" );
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document.write( "Call 1: x + 32y = 269<BR>\n" );
document.write( "Call 2: x + 18y = 157<BR>\n" );
document.write( "-----------------------Subtraction eliminates x, find y<BR>\n" );
document.write( "\"     \"0x + 14y = 112<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112%2F14 ALIGN=MIDDLE  ALT=\"112%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 8 cents for each succeeding min<BR>\n" );
document.write( "I'll let you find the value of x, the first minute cost<BR>\n" );
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document.write( "3) A swimming pool can be filled by three water pipes, A,B and C.<BR>\n" );
document.write( " Pipe C alone can fill the pool in 8 hours. <BR>\n" );
document.write( "If pipes B and C are used together, the pool can be filled in 6 hours.<BR>\n" );
document.write( " If pipes A and B are used together, it takes 10 hours.<BR>\n" );
document.write( " How long does it take to fill the pool if all three pipes are used?<BR>\n" );
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document.write( "Let the completed job = 1 (a full pool)<BR>\n" );
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document.write( "\"pipes B and C are used together, the pool can be filled in 6 hours.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FB ALIGN=MIDDLE  ALT=\"6%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FC ALIGN=MIDDLE  ALT=\"6%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "It tells us pipe C can do it in 8 hrs, therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FB ALIGN=MIDDLE  ALT=\"6%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8 ALIGN=MIDDLE  ALT=\"6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 8B<BR>\n" );
document.write( "8(6) + 6B = 8B<BR>\n" );
document.write( "48 = 8B - 6B<BR>\n" );
document.write( "48 = 2B<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F2 ALIGN=MIDDLE  ALT=\"48%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = 24 hrs for B alone<BR>\n" );
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document.write( "\"If pipes A and B are used together, it takes 10 hours.\" we know B, therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2FA ALIGN=MIDDLE  ALT=\"10%2FA\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F24 ALIGN=MIDDLE  ALT=\"10%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 24A<BR>\n" );
document.write( "24(10) + 10A = 24A<BR>\n" );
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document.write( "240 = 24A - 10A<BR>\n" );
document.write( "240 = 14A<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F14 ALIGN=MIDDLE  ALT=\"240%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 17.143 hrs for A alone<BR>\n" );
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