document.write( "Question 990751: A Restaurant wants to purchase 40 pounds of party mix for a total of $100. They will mix nuts that cost $3 a pound, with pretzels that cost $2 a pound. How many pounds of each type of mix should they use? \n" ); document.write( "
Algebra.Com's Answer #610744 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = pounds of nuts needed
\n" ); document.write( "Let \"+b+\" = pounds of pretzels needed
\n" ); document.write( "---------------
\n" ); document.write( "(1) \"+a+%2B+b+=+40+\"
\n" ); document.write( "(2) \"+3a+%2B+2b+=+100+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+3a+%2B+2b+=+100+\"
\n" ); document.write( "(1) \"+-2a+-+2b+=+-80+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+a+=+20+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+40+\"
\n" ); document.write( "(1) \"+20+%2B+b+=+40+\"
\n" ); document.write( "(1) \"+b+=+20+\"
\n" ); document.write( "--------------
\n" ); document.write( "They used 20 pounds of nuts and
\n" ); document.write( "20 pounds of pretzels
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+3a+%2B+2b+=+100+\"
\n" ); document.write( "(2) \"+3%2A20+%2B+2%2A20+=+100+\"
\n" ); document.write( "(2) \"+60+%2B+40+=+100+\"
\n" ); document.write( "
\n" );