document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895284>Question 895284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally has $70,000 to invest. She invests some money at 7% interest and the rest at 11%. If her total annual income from these two investments is $7,100, how much does she invest at each rate? </SPAN>\n" );
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document.write( "Sally has $70,000 to invest. She invests some money at 7% interest and the rest at 11%. If her total annual income from these two investments is $7,100, how much does she invest at each rate?<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "Let x = amount invested at 7% interest<BR>\n" );
document.write( "therefore, 70000 - x = amount invested at 11% interest<BR>\n" );
document.write( "0.07x + 0.11(70000 - x) = 7100<BR>\n" );
document.write( "Multiply both sides by 100<BR>\n" );
document.write( "7x + 11(70000 - x) = 710000<BR>\n" );
document.write( "7x + 770000 - 11x = 710000<BR>\n" );
document.write( "-4x = -60000<BR>\n" );
document.write( "x = 15000<BR>\n" );
document.write( "so 70000 - x = 55000<BR>\n" );
document.write( "Amount invested at 7% = 15000 dollars<BR>\n" );
document.write( "Amount invested at 11% = 55000 dollars<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );