document.write( "Question 124999: Jane invested some amount at the rate of 12% simple interest and some other amount at 10% simple interest. She received yearly interest of $130. Randy also invested, and received $4 more as interest. How much amount did each of them invest at differen rates? \n" ); document.write( "
Algebra.Com's Answer #91629 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! I apologize. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates? \n" ); document.write( ".12X+.10Y=130 THE FORMULA FOR JANE'S INVESTMENT. \n" ); document.write( ".10X+.12Y=134 THE FORMULA FOR RANDY'S INVESTMENT. \n" ); document.write( "MULTIPLY JANE'S FORMULA BY -10 & RANDY'S BY 12 THEN ADD THEM. \n" ); document.write( "-1.2X-1Y=-1300 \n" ); document.write( "1.2X+1.44Y=1608 \n" ); document.write( "------------------------------ \n" ); document.write( ".44Y=308 \n" ); document.write( "Y=308/.44 \n" ); document.write( "Y=$700 INVESTED BY JANE @ 10% & BY RANDY @ 12%. ANSWER. \n" ); document.write( ".12X+.10*700=130 \n" ); document.write( ".12X+70=130 \n" ); document.write( ".12X=130-70 \n" ); document.write( ".12X=60 \n" ); document.write( "X=60/.12 \n" ); document.write( "X=$500 INVESTED BY JANE @ 12% & BY RANDY @ 10%. ANSWER. \n" ); document.write( "PROOF: \n" ); document.write( ".10*500+.12*700=134 \n" ); document.write( "50+84=134 \n" ); document.write( "134=134 \n" ); document.write( " \n" ); document.write( " |