document.write( "Question 328739: Cashews cost $5 per pound and peanuts cost $1.50 per pound. How many pounds of cashews should be mixed with peanuts to get a mixture of 32 pounds that will cost $4 per pound? Round to the nearest tenth. \n" ); document.write( "

Algebra.Com's Answer #236188 by Fombitz(32388) $\"\"$ $\"About$

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Let C be the amont of cashews, P peanuts.
\n" ); document.write( "1. $\"C%2BP=32\"$
\n" ); document.write( "2. $\"5C%2B1.5P=4%2832%29=128\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"C=32-P\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"5%2832-P%29%2B1.5P=128\"$
\n" ); document.write( " $\"160-5P%2B1.5P=128\"$
\n" ); document.write( " $\"-3.5P=-32\"$
\n" ); document.write( " $\"P=32%282%2F7%29=64%2F7\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"C%2B64%2F7=224%2F7\"$
\n" ); document.write( " $\"C=%28224-64%29%2F7\"$
\n" ); document.write( " $\"C=160%2F7\"$
\n" ); document.write( "To the nearest tenth, use 22.9 lbs of cashews and 9.1 lbs of peanuts.
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