document.write( "Question 836945: Basil at $6.20 per ounce and oregano at $3.70 per ounce are mixed to obtain 20 ounces of blend worth $5.20 per ounce. How many ounces of each herb are used?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #504422 by dfrazzetto(283)\"\" \"About 
You can put this solution on YOUR website!
Basil - 6.20 per ounce\r
\n" ); document.write( "\n" ); document.write( "Set ounces of basil = x
\n" ); document.write( "Total value of basil = 6.2x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Oregano - 3.70 per ounce\r
\n" ); document.write( "\n" ); document.write( "Set ounces of Oregano = y
\n" ); document.write( "Total value of Oregano = 3.7y\r
\n" ); document.write( "\n" ); document.write( "x + y = 20 ounces total\r
\n" ); document.write( "\n" ); document.write( "6.2x + 3.7y = 5.2(20)\r
\n" ); document.write( "\n" ); document.write( "x + y = 20; x = 20 - y\r
\n" ); document.write( "\n" ); document.write( "6.2(20 - y) + 3.7y = 104\r
\n" ); document.write( "\n" ); document.write( "124 - 6.2y + 3.7y = 104\r
\n" ); document.write( "\n" ); document.write( "124 - 2.5y = 104\r
\n" ); document.write( "\n" ); document.write( "-2.5y = -20\r
\n" ); document.write( "\n" ); document.write( "y = 8 ounces of Oregano
\n" ); document.write( "x = 20 - y = 12 ounces of Basil\r
\n" ); document.write( "\n" ); document.write( "CHECK:\r
\n" ); document.write( "\n" ); document.write( "8 + 12 = 20 ounces total\r
\n" ); document.write( "\n" ); document.write( "8(3.7) + 12(6.2) = 20(5.2)
\n" ); document.write( "104 = 104; Correct\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );