document.write( "Question 443039: Six grapefruit cost as much as ten oranges. The cost of a dozen grapefruit and two dozen oranges is $33. How many cents does one orange cost? \n" ); document.write( "

Algebra.Com's Answer #305580 by swincher4391(1107) $\"\"$ $\"About$

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Let g be the cost of grapefruit. Let o be the cost of oranges.\r
\n" ); document.write( "\n" ); document.write( "6g = 10o
\n" ); document.write( "12g + 2o = 33\r
\n" ); document.write( "\n" ); document.write( "6g -10o = 0
\n" ); document.write( "12g +2o = 33\r
\n" ); document.write( "\n" ); document.write( "Multiply the 1st equation by -2.\r
\n" ); document.write( "\n" ); document.write( "-12g +20o = 0
\n" ); document.write( " 12g + 2o = 33\r
\n" ); document.write( "\n" ); document.write( "Add the two together:\r
\n" ); document.write( "\n" ); document.write( " 0g + 22o = 33\r
\n" ); document.write( "\n" ); document.write( " o = 3/2 = $1.50\r
\n" ); document.write( "\n" ); document.write( "6g = 10(1.50)
\n" ); document.write( "6g = 15\r
\n" ); document.write( "\n" ); document.write( "g = 15/6 = 5/2 = $2.50\r
\n" ); document.write( "\n" ); document.write( "Oranges cost $1.50
\n" ); document.write( "Grapefruit costs $2.50\r
\n" ); document.write( "\n" ); document.write( "Hope this helped!\r
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