document.write( "Question 1055855: A girl can put 8 large cases and 10 small cases into a box for shipping. In one shipment, she can send a total of 96 cases.If there are more large cases than small cases, how many box did she ship? \n" ); document.write( "
Algebra.Com's Answer #671027 by stanbon(75887) ![]() You can put this solution on YOUR website! A girl can put 8 large cases and 10 small cases into a box for shipping. In one shipment, she can send a total of 96 cases.If there are more large cases than small cases, how many boxs did she ship? \n" ); document.write( "---- \n" ); document.write( "8L + 10S = 96 \n" ); document.write( "L > S \n" ); document.write( "--------------- \n" ); document.write( "4L + 5S = 48 \n" ); document.write( "L = (-5/4)S + 12 \n" ); document.write( "-------------------------- \n" ); document.write( "(-5/4)S + 12 > S \n" ); document.write( "------------------------ \n" ); document.write( "(5/4)S+S < 12 \n" ); document.write( "------- \n" ); document.write( "(9/4)S < 12 \n" ); document.write( "S < 48/9 \n" ); document.write( "S < 5 1/3 \n" ); document.write( "----- \n" ); document.write( "# of Small = 5 \n" ); document.write( "---- \n" ); document.write( "Solve for \"L\" \n" ); document.write( "4L + 5S = 48 \n" ); document.write( "4L + 25 = 48 \n" ); document.write( "4L = 23 \n" ); document.write( "L = 5 3/4 (round down to L = 5) \n" ); document.write( "----- \n" ); document.write( "She shipped 5 cases , each having 8large and 10 small boxes. \n" ); document.write( "---- \n" ); document.write( "She shipped 5*8 large and 5*10 small \n" ); document.write( "--- \n" ); document.write( "Total:: She shipped 40 + 50 = 90 boxes \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |