document.write( "Question 907288: An investor divided $4,000 into two unequal parts. One of them was invested at 5.5% annual simple interest, and the other at 6.7%.
\n" ); document.write( "After 1 year, the interest on both investments was $253.\r
\n" ); document.write( "\n" ); document.write( "Find how much money was invested at 5.5%.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #550219 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
Total amount of money invested: $4000
\n" ); document.write( "x+y=4000,
\n" ); document.write( "Total yearly interest for the two accounts is: $253
\n" ); document.write( "0.055*x+0.067*y=253
\n" ); document.write( "x=4000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.055*(4000-y)+0.067*y=253
\n" ); document.write( "Multiply out
\n" ); document.write( "220.0-0.055y+0.067*y=253
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.012*y=33.0
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 2750.00 at 6.7%
\n" ); document.write( "x=4000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 1250.00 at 5.5%
\n" ); document.write( "Check
\n" ); document.write( "0.055*1250.0+0.067*2750.0=253
\n" ); document.write( "68.75+184.25=253
\n" ); document.write( "253.0=253
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "
\n" ); document.write( "
\n" );