document.write( "Question 629810: A company orders two types of parts , brass and steel . One shipment contains 3 brass and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each type of part . \n" ); document.write( "
Algebra.Com's Answer #396511 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A company orders two types of parts , brass and steel . One shipment contains 3 brass and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each type of part . \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "3b + 10s = 48 dollars \n" ); document.write( "7b + 4s = 54 dollars \n" ); document.write( "----------------------- \n" ); document.write( "Multiply thru 1st by 7; thru 2nd by 3 \n" ); document.write( "---- \n" ); document.write( "21b + 70s = 7*48 \n" ); document.write( "21b + 12s = 3*54 \n" ); document.write( "--------- \n" ); document.write( "Subtract and solve for \"s\": \n" ); document.write( "58s = 174 \n" ); document.write( "s = $3 (price of one steel part) \n" ); document.write( "---- \n" ); document.write( "Solve for \"b\": \n" ); document.write( "3b + 10*s = 48 \n" ); document.write( "3b + 30 = 48 \n" ); document.write( "b = $6 (price of one brass part) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================== \n" ); document.write( " |