document.write( "Question 398223: a 10lb mixture of peanuts and cashews sells for $5.32 per lb. The price of peanuts is $3.60 per lb and the price of cashews is $7.90 . How many lbs of each type is in the mixture \n" ); document.write( "
Algebra.Com's Answer #282177 by josmiceli(19441)\"\" \"About 
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Let \"a\" = pounds of peanuts in mix
\n" ); document.write( "Let \"b\" = pounds of cashews in mix
\n" ); document.write( "given:
\n" ); document.write( "(1) \"a+%2B+b+=+10\" pounds
\n" ); document.write( "\"%28360a+%2B+790b%29+%2F10+=+532\" (in cents)
\n" ); document.write( "(2) \"360a+%2B+790b+=+5320\"
\n" ); document.write( "Multiply both sides 0f (1) by \"360\",
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"360a+%2B+790b+=+5320\"
\n" ); document.write( "(1) \"-360a+-+360b+=+-3600\"
\n" ); document.write( "\"430b+=+1720\"
\n" ); document.write( "\"b+=+4\"
\n" ); document.write( "and, since
\n" ); document.write( "\"a+%2B+b+=+10\"
\n" ); document.write( "\"a+=+6\"
\n" ); document.write( "There are 6 pounds of peanuts in mix
\n" ); document.write( "There are 4 pounds of cashews in mix
\n" ); document.write( "check:
\n" ); document.write( "\"%28360a+%2B+790b%29+%2F10+=+532\"
\n" ); document.write( "\"%28360%2A6+%2B+790%2A4%29+%2F10+=+532\"
\n" ); document.write( "\"%282160+%2B+3160%29%2F10+=+532\"
\n" ); document.write( "\"5320%2F10+=+532\"
\n" ); document.write( "\"532+=+532\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );