document.write( "Question 351330: I am trying to help my daughter with Algebra, but it's been SO long... Here are two questions. I think if she can get the hang of it, she will take off. She is super-smart!\r
\n" ); document.write( "\n" ); document.write( "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 $3.00 per pound. He mixes 10 pounds at a time. How many pounds of Virginia peanuts does he use? \r
\n" ); document.write( "\n" ); document.write( "and, \r
\n" ); document.write( "\n" ); document.write( " A pineapple drink contains 15 percent pineapple juice. How much pure pineapple juice should be added to 8 quarts of the pineapple drink to obtain a mixture containing 50 percent juice?\r
\n" ); document.write( "\n" ); document.write( "If you just want to pick one, that is fine. Thanks SO much! My e-mail is NordicStrength@aol.com \n" ); document.write( "
Algebra.Com's Answer #251322 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound.
\n" ); document.write( " To make the mixture, he uses Virginia peanuts that cost $3.50 per pound and
\n" ); document.write( " Spanish peanuts that cost $3.00 per pound.
\n" ); document.write( " He mixes 10 pounds at a time.
\n" ); document.write( " How many pounds of Virginia peanuts does he use?
\n" ); document.write( ":
\n" ); document.write( "This is a typical mixture problem, this method can be used for most of them:
\n" ); document.write( "Let x = amt $3.50 nuts required (Virginia)
\n" ); document.write( "then
\n" ); document.write( "(10-x) = amt of $3 nuts required
\n" ); document.write( ":
\n" ); document.write( "3.5x + 3(10-x) = 3.4(10)
\n" ); document.write( "3.5x + 30 - 3x = 34
\n" ); document.write( "3.5x - 3x = 34 - 30
\n" ); document.write( ".5x = 4
\n" ); document.write( "x = \"4%2F.5\"
\n" ); document.write( "x = 8 lb of Virginia nuts required
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this (10 - 8 = 2 lb of Sp nuts)
\n" ); document.write( "3.5(8) + 3(2) = 3.4(10)
\n" ); document.write( "28 + 6 = 34
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "A pineapple drink contains 15 percent pineapple juice.
\n" ); document.write( " How much pure pineapple juice should be added to 8 quarts of the pineapple
\n" ); document.write( " drink to obtain a mixture containing 50 percent juice?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of pure p.a juice
\n" ); document.write( "The resulting amt = (x+8)
\n" ); document.write( ":
\n" ); document.write( ".15(8) + 1x = .5(x+8)
\n" ); document.write( "1.2 + x = .5x + 4
\n" ); document.write( "x - .5x = 4 - 1.2
\n" ); document.write( ".5x = 2.8
\n" ); document.write( "x = \"2.8%2F.5\"
\n" ); document.write( "x = 5.6 qts of pure p.a. juice required
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( ".15(8) + 5.6 = .5(13.6)
\n" ); document.write( "1.2 + 5.6 = 6.8; confirms our solution \n" ); document.write( "
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