document.write( "Question 575628: This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did the carpenter make? \n" ); document.write( "
Algebra.Com's Answer #369575 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did the carpenter make? \n" ); document.write( "-------- \n" ); document.write( "# of stools EQ: t + f = 30 \n" ); document.write( "# of legs EQ:: 3t +4f = 103 \n" ); document.write( "------------------- \n" ); document.write( "Multiply thru stools EQ be 3 to get: \n" ); document.write( "3t + 3f = 3*30 \n" ); document.write( "3t + 4f = 103 \n" ); document.write( "---- \n" ); document.write( "subtract and solve for \"f\": \n" ); document.write( "f = 13 (# of four-legged stools) \n" ); document.write( "--- \n" ); document.write( "Solve for \"t\": \n" ); document.write( "t + f = 30 \n" ); document.write( "t + 13 = 30 \n" ); document.write( "t = 17 (# of 3-legged stools) \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |