document.write( "Question 1092655: Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than 12 small ones. How much does one small bottles cost? \n" ); document.write( "

Algebra.Com's Answer #707277 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "let
\n" ); document.write( "large bottles: $\"x\"$
\n" ); document.write( " small bottles : $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( "if large reusable bottles cost $ $\"4\"$ more than small ones, we have\r
\n" ); document.write( "\n" ); document.write( " $\"x=y%2B4\"$ .......eq.1\r
\n" ); document.write( "\n" ); document.write( "if $\"8\"$ large bottles cost $ $\"24\"$ less than $\"12\"$ small ones, we have\r
\n" ); document.write( "\n" ); document.write( " $\"8x-24=12y\"$
\n" ); document.write( " $\"8x=12y%2B24\"$
\n" ); document.write( " $\"x=12y%2F8%2B24%2F8\"$
\n" ); document.write( " $\"x=3y%2F2%2B3\"$ .........eq.2\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "\n" ); document.write( " $\"y%2B4=3y%2F2%2B3\"$
\n" ); document.write( " $\"2y%2B8=3y%2B6\"$
\n" ); document.write( " $\"8-6=3y-2y\"$
\n" ); document.write( " $\"y=2\"$ \r
\n" ); document.write( "\n" ); document.write( "find $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2%2B4\"$ .......eq.1
\n" ); document.write( " $\"x=6\"$ \r
\n" ); document.write( "\n" ); document.write( "large bottle cost: $ $\"6\"$
\n" ); document.write( " small bottle cost : $ $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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