document.write( "Question 888601: A man bought 2 pounds of coffee and 1 pound of butter for a total of $11.25. A month later, the prices had not changed (this makes it a fictitious problem), and he bought 5 pounds of coffee and 2 pounds of butter for $26.50. Find the price per pound of both the coffee and the butter. \n" ); document.write( "
Algebra.Com's Answer #537497 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A man bought 2 pounds of coffee and 1 pound of butter for a total of $11.25. A month later, the prices had not changed (this makes it a fictitious problem), and he bought 5 pounds of coffee and 2 pounds of butter for $26.50. Find the price per pound of both the coffee and the butter. \n" ); document.write( "*** \n" ); document.write( "let x=price/lb of coffee \n" ); document.write( "let y=price/lb of butter \n" ); document.write( ".. \n" ); document.write( "2x+y=11.25 \n" ); document.write( "5x+2y=26.50 \n" ); document.write( ".. \n" ); document.write( "4x+2y=22.50(mult. 1st eq by 2) \n" ); document.write( "5x+2y=26.50 \n" ); document.write( "subtract \n" ); document.write( "x=4 \n" ); document.write( "y=11.25-2x=3.25 \n" ); document.write( "price/lb of coffee=$4.00 \n" ); document.write( "price/lb of butter=$3.25 \n" ); document.write( " \n" ); document.write( " |