document.write( "Question 1162620: Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%.The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income from the 8% investment. Find the amount invested at each rate \n" ); document.write( "

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\n" ); document.write( "There was $800 of income from the 8% investment, and there was $800 of income combined from the 5% and 6% investments.

\n" ); document.write( "$800 income from an 8% investment means the amount invested at that rate was $10,000.

\n" ); document.write( "So the combined amounts invested in the 5% and 6% investments was $15,000.

\n" ); document.write( "$15,000 all invested at 5% would yield $750 income; all at 6% would yield $900 income.
\n" ); document.write( "The actual income from those two investments, $800, is one-third of the way from $750 to $900. That means 1/3 of the remaining $15,000 was invested at the higher rate. So $5000 at 6% and $10,000 at 5%.

\n" ); document.write( "ANSWER: $10,000 at 8%; $10,000 at 5%, and $5000 at 6%.

\n" ); document.write( "CHECK:
\n" ); document.write( ".08(10,000)+.05(10,000)+.06(5000) = 800+500+300 = 1600

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