document.write( "Question 176341: How many kg of corn that cost P40 per kg must be mixed with 10kg of peanut that cost P80 per kg to make a mixture that cost P55 per kg? \n" ); document.write( "
Algebra.Com's Answer #131435 by ptaylor(2198)\"\" \"About 
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Let x=amount of corn needed\r
\n" ); document.write( "\n" ); document.write( "Now we know that the value of the corn (40x) plus the value fo the peanuts (10*80) before they are mixed has to equal the value of the final mixture (55*(10+x)). So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "40x+10*80=55(10+x) get rid of parens
\n" ); document.write( "40x+800=550+55x subtract 800 and also 55x from each side
\n" ); document.write( "40x-55x+800-800=550-800+55x-55x collect like terms
\n" ); document.write( "-15x=-250 divide each side by -15
\n" ); document.write( "x=16.667 kg----------------------------amount of corn needed\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "16.667*40+10*80=55*26.667
\n" ); document.write( "666.68+800=1466.685
\n" ); document.write( "1466.68=1466.68\r
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\n" ); document.write( "\n" ); document.write( "Does this help???-----ptaylor
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