document.write( "Question 156812: A certain paint mixture sells for $3.40 per liter and contains white and red paint. The white paint is valued at $3.00 per liter and the red at $4.00 per liter. If 10 L of this mixture is needed, how much white and red must be used to make it? \n" ); document.write( "

Algebra.Com's Answer #115627 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
A certain paint mixture sells for $3.40 per liter and contains white and red paint. The white paint is valued at $3.00 per liter and the red at $4.00 per liter. If 10 L of this mixture is needed, how much white and red must be used to make it?
\n" ); document.write( ".
\n" ); document.write( "Let w = amount of white paint
\n" ); document.write( "then, since total volume is 10 L:
\n" ); document.write( "10-w = amount of red paint
\n" ); document.write( ".
\n" ); document.write( "\"cost of white paint\" + \"cost of red paint\" = \"cost of desired mixture\"
\n" ); document.write( ".
\n" ); document.write( "3w + 4(10-w) = 3.40(10)
\n" ); document.write( "3w + 40 - 4w = 34
\n" ); document.write( "40 - w = 34
\n" ); document.write( "40 = 34 + w
\n" ); document.write( "6 liters = w (amount of white paint)
\n" ); document.write( ".
\n" ); document.write( "To find red paint:
\n" ); document.write( "10-w = 10-6 = 4 liters (amount of red paint)
\n" ); document.write( " \n" ); document.write( "

\n" );