document.write( "Question 905205: Tricia received
\n" ); document.write( "an inheritance of $5500. She invested part of it at 8%
\n" ); document.write( "simple interest and the remainder at 12% simple interest.
\n" ); document.write( "At the end of the year she had earned $540. How much
\n" ); document.write( "did Tricia invest at each interest amount?
\n" ); document.write( "

Algebra.Com's Answer #549086 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
Total amount of money invested: $5500
\n" ); document.write( "x+y=5500,
\n" ); document.write( "Total yearly interest for the two accounts is: $540
\n" ); document.write( "0.08*x+0.12*y=540
\n" ); document.write( "x=5500-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.08*(5500-y)+0.12*y=540
\n" ); document.write( "Multiply out
\n" ); document.write( "440-0.08y+0.12*y=540
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.04*y=100
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 2500.00 at 12%
\n" ); document.write( "x=5500-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 3000.00 at 8%
\n" ); document.write( "Check
\n" ); document.write( "0.08*3000+0.12*2500=540
\n" ); document.write( "240+300=540
\n" ); document.write( "540=540
\n" ); document.write( "If this statement is TRUE and neither amount is negative then all is well
\n" ); document.write( "
\n" ); document.write( "
\n" );