document.write( "Question 903225: Tony has a total of $12,500 in two accounts. One account pays 2% simple interest per year and the other pays 5% simple interest. If he earned $370 in interest in the first year, how much did he invest in each account? \n" ); document.write( "
Algebra.Com's Answer #547851 by richwmiller(17219)\"\" \"About 
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We know the total amount of money invested. $12500
\n" ); document.write( "x+y=12500,
\n" ); document.write( "We know that the total interest for the year for the two accounts is $370
\n" ); document.write( "0.02*x+0.05*y=370
\n" ); document.write( "x=12500-y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.02*(12500-y)+0.05*y=370
\n" ); document.write( "We multiply out
\n" ); document.write( "250-0.02y+0.05*y=370
\n" ); document.write( "We combine like terms.
\n" ); document.write( "0.03*y=120
\n" ); document.write( "Isolate y
\n" ); document.write( "y=4000 at 5%
\n" ); document.write( "x=12500-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=8500 at 2%
\n" ); document.write( "We check
\n" ); document.write( "0.02*8500+0.05*4000=370
\n" ); document.write( "170+200=370
\n" ); document.write( "370=370
\n" ); document.write( "Since this statement is TRUE and neither amount is negative then it is ok
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