document.write( "Question 104818This question is from textbook Pretice hall mathematics. Algebra 1
\n" ); document.write( ": The math club and science club had fundraisers to buy supplies for a hospice. the math club spent $135 buying six cases of juice and one case of bottled water. The science club spent $110 buying four cases of juice and two cases of bottled water. how much did a case of juice cost? how much did a case of bottled water cost?\r
\n" ); document.write( "\n" ); document.write( "K this one also needs to be written in a linear equation form and solved..i'm really bad at this stuff! please help me
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Algebra.Com's Answer #76405 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=cost of a case of juice
\n" ); document.write( "And y=cost of a case of bottled water\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:
\n" ); document.write( "6x+y=$135---------------eq1----cases and cost for the math club
\n" ); document.write( "4x+2y=$110---------------eq2-----cases and cost for the science club\r
\n" ); document.write( "\n" ); document.write( "Multiply eq1 by 2 and we get:\r
\n" ); document.write( "\n" ); document.write( "12x+2y=$270-------------------eq1a
\n" ); document.write( "4x+2y=$110-----------------------eq2
\n" ); document.write( "subtract eq2 from eq1a and we get:\r
\n" ); document.write( "\n" ); document.write( "8x=$160 divide both sides by 8\r
\n" ); document.write( "\n" ); document.write( "x=$20----------------cost of a case of juice\r
\n" ); document.write( "\n" ); document.write( "substitute x=$20 into eq2 and we have:\r
\n" ); document.write( "\n" ); document.write( "4*$20+2y=$110 or
\n" ); document.write( "$80+2y=$110 subtract $80 from both sides\r
\n" ); document.write( "\n" ); document.write( "$80-$80+2y=$110-$80 collect like terms\r
\n" ); document.write( "\n" ); document.write( "2y=$30 divide both sides by 2
\n" ); document.write( "y=$15----------------------------cost of a case of bottled water\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "6*20+1*15=135
\n" ); document.write( "120+15=135
\n" ); document.write( "135=135\r
\n" ); document.write( "\n" ); document.write( "also
\n" ); document.write( "4*20+2*15=110\r
\n" ); document.write( "\n" ); document.write( "80+30=110
\n" ); document.write( "110=110\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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