document.write( "Question 1168915: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 12 large boxes and 2 small boxes has a total weight of 199 kilograms. A delivery of 3 large boxes and 5 small boxes has a total weight of 79 kilograms. How much does each type of box weigh? \n" ); document.write( "
Algebra.Com's Answer #793619 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make the large boxes = x \n" ); document.write( "Small boxes = y \n" ); document.write( "12x + 2y = 199.........(1) \n" ); document.write( "3x + 5y = 79...........(2) \n" ); document.write( "Multiply (2) by 4 \n" ); document.write( "12x + 2y = 199........(1) \n" ); document.write( "12x + 20y = 316.......(2) \n" ); document.write( "Subtract equation (1) from (2) \n" ); document.write( "18y = 117 \n" ); document.write( "y = 6.5 \n" ); document.write( "Substitute y = 6.5 into equation (1) \n" ); document.write( "12x + 2(6.5) = 199 \n" ); document.write( "12x + 13 = 199 \n" ); document.write( "12x = 199 - 13 \n" ); document.write( "12x = 186 \n" ); document.write( "x = 15.5 \n" ); document.write( "Large boxes weigh 15.5 kg \n" ); document.write( "Small boxes weigh 6.5 kg. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |