document.write( "Question 1126335: a grocery shopper bought 6 ib of steak and 20 ib of groundbeef the steak cost $5/ib more than the groundbeef and the total bill was $82 what was the price per pound for each type of meat?
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Algebra.Com's Answer #742641 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "6 pounds of steak \n" ); document.write( "20 pounds of groundbeef\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Steak costs $5 more per pound. If x is the cost per pound of groundbeef, then x+5 is the cost per pound of steak.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(amount of steak)*(cost per pound of steak)+(amount of ground beef)*(cost per pound of ground beef) = total bill \n" ); document.write( "(6 pounds)*(x+5 dollars)+(20 pounds)*(x dollars) = 82 \n" ); document.write( "6(x+5)+20x = 82 \n" ); document.write( "6x+30+20x = 82 \n" ); document.write( "26x+30 = 82 \n" ); document.write( "26x+30-30 = 82-30 .......... subtract 30 from both sides \n" ); document.write( "26x = 52 \n" ); document.write( "26x/26 = 52/26 .............. divide both sides by 26 \n" ); document.write( "x = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x = 2, then, \n" ); document.write( "x+5 = 2+5 = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It costs $2 per pound for ground beef, and it costs $7 per pound for steak\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "(amount of steak)*(cost per pound of steak)+(amount of ground beef)*(cost per pound of ground beef) = total bill \n" ); document.write( "(6 pounds)*(7 dollars per pound)+(20 pounds)*(2 dollars per pound) = 82 \n" ); document.write( "(6*7) + (20*2) = 82 \n" ); document.write( "42 + 40 = 82 \n" ); document.write( "82 = 82 \n" ); document.write( "Solution has been confirmed \n" ); document.write( " \n" ); document.write( " |