document.write( "Question 523649: sue bought 4 packs of cookies and 3 sacks of potato chips for 5.01. Later she bought 3 pack of cookies and 5 sacks of potato chips for 5.27. what is the price of a pack of cookies?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #347362 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
c = cookies
\n" ); document.write( "p = potato chips
\n" ); document.write( ".
\n" ); document.write( "4c + 3p = 501 cents
\n" ); document.write( "3c + 5p = 527 cents
\n" ); document.write( ".
\n" ); document.write( "multiply the first equation by 3 and the second equation by 4 and then subtract
\n" ); document.write( ".
\n" ); document.write( "12c + 9p = 1503
\n" ); document.write( "12c + 20p = 2108
\n" ); document.write( "------------------
\n" ); document.write( "-11p = -605
\n" ); document.write( ".
\n" ); document.write( "p = 55 cents
\n" ); document.write( ".
\n" ); document.write( "substitute to find 'c'
\n" ); document.write( ".
\n" ); document.write( "4c + 3(55) = 501
\n" ); document.write( "4c = 501 -165
\n" ); document.write( "4c = 336
\n" ); document.write( ".
\n" ); document.write( "c = 84 cents
\n" ); document.write( ".
\n" ); document.write( "use the other equation to check these values
\n" ); document.write( ".
\n" ); document.write( "3(84) + 5(55) = 527
\n" ); document.write( ".
\n" ); document.write( "Answer: Potato chips cost 55 cents, and cookies cost 84 cents.
\n" ); document.write( ".
\n" ); document.write( "Done.
\n" ); document.write( "
\n" );