document.write( "Question 169971: A truck carrying 3600 cubic feet of cargo consisting of washing machines and refrigerators was hijacked. The washing machine are worth $300 each and are shipped in 36 cubic-foot cartons. The refrigerators are worth $900 each and are shipped in 45 cubic-foot cartons. If the total value of the cargo is $51,000, then how many of each were there on the truck? \n" ); document.write( "
Algebra.Com's Answer #125455 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A truck carrying 3600 cubic feet of cargo consisting of washing machines and refrigerators was hijacked. The washing machine are worth $300 each and are shipped in 36 cubic-foot cartons. The refrigerators are worth $900 each and are shipped in 45 cubic-foot cartons. If the total value of the cargo is $51,000, then how many of each were there on the truck? \n" ); document.write( "----------------- \n" ); document.write( "value equation: 300w + 900r = 51000 \n" ); document.write( "volume equation: 36w + 45r = 3600 \n" ); document.write( "======================================= \n" ); document.write( "Rearrange: \n" ); document.write( "w + 3r = 170 \n" ); document.write( "4w + 5r = 400 \n" ); document.write( "------------------- \n" ); document.write( "Multiply thru 1st by 4 to get: \n" ); document.write( "4w + 12r = 4*170 \n" ); document.write( "4w + 5r = 400 \n" ); document.write( "-------------------- \n" ); document.write( "Subtract 2nd from 1st to solve from r: \n" ); document.write( "7r = 4*170-400 \n" ); document.write( "r = 40 (# of refrigerators) \n" ); document.write( "w = 170-3r = 170-3*40 = 50 (# of washers) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |