document.write( "Question 242393: You invest $7,200 in two accounts paying 8% and 10% annual interest, repectively. At the end of the year, the accounts earn the same interest. How much was invested at each investment? \n" ); document.write( "

Algebra.Com's Answer #177498 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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You invest $7,200 in two accounts paying 8% and 10% annual interest, respectively.
\n" ); document.write( "At the end of the year, the accounts earn the same interest. How much was invested at each investment?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt invested at 8%
\n" ); document.write( "The total investment given as 7200, therefore
\n" ); document.write( "(7200-x) = amt invested at 10%
\n" ); document.write( ":
\n" ); document.write( ".08x = interest paid on the 8% account
\n" ); document.write( ".10(7200-x) = interest paid on the 10% account
\n" ); document.write( ":
\n" ); document.write( "It said the interest from the two accounts are equal, therefore:
\n" ); document.write( ".08x = .10(7200-x)
\n" ); document.write( ".08x = 720 - .10x
\n" ); document.write( ".08x + .10x = 720
\n" ); document.write( ".18x = 720
\n" ); document.write( "x = $\"720%2F.18\"$
\n" ); document.write( "x = $4000 invested at 8%
\n" ); document.write( ":
\n" ); document.write( "I'll let you find the amt invested at 10%
\n" ); document.write( ":
\n" ); document.write( "Then check the interest amts on both, and ensure they are equal \n" ); document.write( "

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