document.write( "Question 915151: We are solving word problems using system of equations in my Algebra II class right now.\r
\n" ); document.write( "\n" ); document.write( "The problem says:\r
\n" ); document.write( "\n" ); document.write( "\"Jackie wants to make a mixture of nuts to sell in her store consisting of hazelnuts and cashews. Hazelnuts cost $6.50 per pound and cashews cost $4.50 per pound. If Jackie wants 60 pounds of total mixture and the cost to be $5.10 per pound, how many pounds of each will she need?\"\r
\n" ); document.write( "\n" ); document.write( "Reading this, I'm completely clueless as to how to set up my two equations. Once I have the equations I can solve it pretty easily but I have no clue how to set up the equations.
\n" ); document.write( "

Algebra.Com's Answer #555457 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of hazelnuts needed
\n" ); document.write( "Let \"+b+\" = pounds of cashews needed
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+60+\"
\n" ); document.write( "(2) \"+%28+6.5a+%2B+4.5b+%29+%2F+60+=+5.1+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) \"+6.5a+%2B+4.5b+=+5.1%2A60+\"
\n" ); document.write( "(2) \"+6.5a+%2B+4.5b+=+306+\"
\n" ); document.write( "(2) \"+65a+%2B+45b+=+3060+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+45+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+65a+%2B+45b+=+3060+\"
\n" ); document.write( "(1) \"+-45a+-+45b+=+-2700+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+20a+=+360+\"
\n" ); document.write( "\"+a+=+18+\"
\n" ); document.write( "and since
\n" ); document.write( "(1) \"+a+%2B+b+=+60+\"
\n" ); document.write( "(1) \"+b+=+42+\"
\n" ); document.write( "18 pounds of hazelnuts are needed
\n" ); document.write( "42 pounds of cashews are needed
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "You can do the check
\n" ); document.write( "Gotta run\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );