document.write( "Question 941529: A delivery of 5 large boxes and 2 small boxes has a total weight of 88 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 97 kilograms. How much does each type of box weigh? \n" ); document.write( "
Algebra.Com's Answer #573998 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let b = the weight of a large box \n" ); document.write( "let s = the weight of a small box \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "A delivery of 5 large boxes and 2 small boxes has a total weight of 88 kilograms. \n" ); document.write( "5b + 2s = 88 \n" ); document.write( ": \n" ); document.write( " A delivery of 3 large boxes and 8 small boxes has a total weight of 97 kilograms. \n" ); document.write( "3b + 8s = 97 \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 4, subtract the 2nd equation \n" ); document.write( "20b + 8s = 352 \n" ); document.write( "3b + 8s = 97 \n" ); document.write( "-----------------Subtraction eliminates s, find b \n" ); document.write( "17b = 255 \n" ); document.write( "b = 255/17 \n" ); document.write( "b = 15 kg, the weight of the large box \n" ); document.write( ": \n" ); document.write( "Find s \n" ); document.write( "3(15) + 8s = 97 \n" ); document.write( "45 + 8s = 97 \n" ); document.write( "8s = 97 - 45 \n" ); document.write( "8s = 52 \n" ); document.write( "s = 52/8 \n" ); document.write( "s = 6.5 kg, the weight of the small box \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the 1st original equation; 5b + 2s = 88 \n" ); document.write( "5(15) + 2(6.5) = 88 \n" ); document.write( "75 + 13 = 88 \n" ); document.write( " \n" ); document.write( " |