document.write( "Question 55956: Heres the problem, Sergio sells a mixture or Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the mixture, he uses Virginia peanuts that cost $3.50 per pound and Spanish peanuts that cost $3 per pund. He mixes 10 pounds at a time. (a)How many pounds or Virginia peanuts does Sergio use? (b)How many pounds Spanish peanuts does Sergio use? \n" ); document.write( "
Algebra.Com's Answer #37961 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Here's the problem, Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the mixture, he uses Virginia peanuts that cost $3.50 per pound, and Spanish peanuts that cost $3 per pound. He mixes 10 pounds at a time.
\n" ); document.write( ":
\n" ); document.write( "(a)How many pounds of Virginia peanuts does Sergio use?
\n" ); document.write( "Assume he is making 10 lb of the $3.40 mixture
\n" ); document.write( ":
\n" ); document.write( "Let x = no. of pounds of the Virginia ($3.50) peanuts
\n" ); document.write( "Then (10-x) = no. of pounds of the Spanish ($3) peanuts
\n" ); document.write( ":
\n" ); document.write( "The Equation:
\n" ); document.write( "3.5x + 3(10-x) = 3.4(10)
\n" ); document.write( "3.5x + 30 - 3x = 34
\n" ); document.write( " .5x = 34 - 30
\n" ); document.write( " x = 4/.5
\n" ); document.write( " x = 8 pounds of Virginia peanuts
\n" ); document.write( ":
\n" ); document.write( "(b)How many pounds Spanish peanuts does Sergio use?
\n" ); document.write( " Spanish peanuts must be 2 pounds since the total is 10 pounds
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( "3.5(8) + 3(2) = 3.4(10)
\n" ); document.write( " 28 + 6 = 34\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );