document.write( "Question 1071063: Nico is saving money for his college education. He invests some money at 9​%, and ​$1400 less than that amount at 6%. The investments produced a total of ​$201 interest in 1 yr. How much did he invest at each​ rate? \n" ); document.write( "
Algebra.Com's Answer #686109 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Nico is saving money for his college education.
\n" ); document.write( " He invests some money at 9​%, and ​$1400 less than that amount at 6%.
\n" ); document.write( " The investments produced a total of ​$201 interest in 1 yr.
\n" ); document.write( " How much did he invest at each​ rate?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt invested at 9$
\n" ); document.write( "then
\n" ); document.write( "(x-1400) = amt invested at 6%
\n" ); document.write( ":
\n" ); document.write( "Total interest equation
\n" ); document.write( ".09x + .06(x-1400) = 201
\n" ); document.write( ".09x + .06x - 84 = 201
\n" ); document.write( ".15x = 201 + 84
\n" ); document.write( ".15x = 285
\n" ); document.write( "x = 285/.15
\n" ); document.write( "x = $1900 invested at 9%
\n" ); document.write( "then
\n" ); document.write( "1900 - 1400 = $500 invested at 6%
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this find the actual interest at each
\n" ); document.write( ".09(1900) = 171
\n" ); document.write( ".06(500) = 30
\n" ); document.write( "----------------
\n" ); document.write( "total int: $201 \n" ); document.write( "
\n" );