document.write( "Question 209296: Shelby inherited 1,000,000. He invested part of the money in a thoroughbred horse-breeding farm and the rest in a southern plantation. If shelby earns 12% on the farm and 2% on the plantation, for a combined profit of 50,000 how much did he invest in the farm? \n" ); document.write( "
Algebra.Com's Answer #158228 by RAY100(1637) ![]() You can put this solution on YOUR website! Let A=$ farm,,,,,and ,,B=$ plantation \n" ); document.write( ". \n" ); document.write( "A + B = $ 1,000,000,,,,,or B=1,000,000 -A \n" ); document.write( ". \n" ); document.write( "and,,.12A +.02B = $ 50,000 \n" ); document.write( ". \n" ); document.write( "subst,,,,,.12A +.02(1,000,000 -A) = 50,000 \n" ); document.write( ". \n" ); document.write( ".12A +20,000 -.02A = 50,000 \n" ); document.write( ". \n" ); document.write( ".10A = 30,000 \n" ); document.write( ". \n" ); document.write( "A= $ 300,000 \n" ); document.write( ". \n" ); document.write( "and,,,B= 1,000,000 - 300,000 = $ 700,000 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "checking,,,.12(300,000) +.02(700,000) = 50,000,,,,ok \n" ); document.write( ". \n" ); document.write( "and, A+B=1,000,000,,,ok \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |