document.write( "Question 881141: a truck contained 35 boxes, some weighing 6 pounds and the rest weighing 10 pounds. if the total weight of the boxes was 262 pounds, find the number of each type of box in the truck \n" ); document.write( "
Algebra.Com's Answer #531985 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of 6 pound boxes \n" ); document.write( "35 - x = number of 10 pound boxes {there are 35 boxes}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x + 10(35 - x) = 262 {weight of each box multiplied by number of boxes equals total weight} \n" ); document.write( "6x + 350 - 10x = 262 {used distributive property} \n" ); document.write( "-4x + 350 = 262 {combined like terms} \n" ); document.write( "-4x = -88 {subtracted 350 from each side} \n" ); document.write( "x = 22 {divided each side by -4} \n" ); document.write( "35 - x = 13 {substituted 22, in for x, into 35 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "22 six pound boxes \n" ); document.write( "13 ten pound boxes \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |