document.write( "Question 1204040: Chris invested his savings in two investment funds. The $4000 that he invested in Fund A returned a 2% profit. The amount that he invested in Fund B returned a 7% profit. How much did he invest in Fund B, if both funds together returned a 5% profit? \n" ); document.write( "
Algebra.Com's Answer #840046 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Chris invested his savings in two investment funds. \n" ); document.write( "The $4000 that he invested in Fund A returned a 2% profit. \n" ); document.write( "The amount that he invested in Fund B returned a 7% profit. \n" ); document.write( "How much did he invest in Fund B, if both funds together returned a 5% profit? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Your equation is\r\n" ); document.write( "\r\n" ); document.write( " 0.02*4000 + 0.07*B = 0.05*(4000+B)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To find B, simplify it step by step\r\n" ); document.write( "\r\n" ); document.write( " 80 + 0.07B = 200 + 0.05B\r\n" ); document.write( "\r\n" ); document.write( " 0.07B - 0.05 = 200 - 80\r\n" ); document.write( "\r\n" ); document.write( " 0.02B = 120\r\n" ); document.write( "\r\n" ); document.write( " B = 120/0.02 = 6000. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. Left side of equation (1) is 0.02*4000 + 0.07*6000 = 500.\r\n" ); document.write( "\r\n" ); document.write( " Right side is 0.05*(4000+6000) = 500, the same number. ! correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution by @josgarithmetic, giving the answer 2400 for amount B, \n" ); document.write( "is incorrect, starting from his very first line to the very end.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "No one line of his post is correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the safety of your mind, you better ignore his post \n" ); document.write( "as if you never seen it before.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |