document.write( "Question 780200: There are two hundred nuts in a can of mixed nuts including peanuts, cashews, almonds, and walnuts. There are twice as many peanuts as cashews, twenty more cashews than almonds, and ten fewer almonds than twice the number of walnuts. How many nuts of each type are there? \n" ); document.write( "

Algebra.Com's Answer #475506 by lwsshak3(11628) $\"\"$ $\"About$

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There are two hundred nuts in a can of mixed nuts including peanuts, cashews, almonds, and walnuts. There are twice as many peanuts as cashews, twenty more cashews than almonds, and ten fewer almonds than twice the number of walnuts. How many nuts of each type are there?
\n" ); document.write( "***
\n" ); document.write( "let w=number of walnuts
\n" ); document.write( "2w-10=number of almonds
\n" ); document.write( "2w+10+20=2w+10=number of cashews
\n" ); document.write( "2(2w+10)=4w+20=number of peanuts
\n" ); document.write( "..
\n" ); document.write( "w+2w-10+2w+10+4w+20=200
\n" ); document.write( "9w=180
\n" ); document.write( "w=20
\n" ); document.write( "2w-10=30
\n" ); document.write( "2w+10=50
\n" ); document.write( "4w+20=100
\n" ); document.write( "..
\n" ); document.write( "number of walnuts=20
\n" ); document.write( "number of almonds=30
\n" ); document.write( "number of cashews=50
\n" ); document.write( "number of peanuts=100 \n" ); document.write( "

\n" );