document.write( "Question 229212: Amy invests a part of $12000 in bonds paying 11% interest. The remainder is in a savings account at 8%. If she receives $1200 in interest for 1 year, how much does she have invested at each rate?\r
\n" ); document.write( "\n" ); document.write( "I am trying to help my son. We both do not understand how to do this. Thanks in advance for your time.
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Algebra.Com's Answer #170116 by ankor@dixie-net.com(22740)\"\" \"About 
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Amy invests a part of $12000 in bonds paying 11% interest.
\n" ); document.write( " The remainder is in a savings account at 8%.
\n" ); document.write( "If she receives $1200 in interest for 1 year, how much does she have invested at
\n" ); document.write( " each rate?
\n" ); document.write( ":
\n" ); document.write( "let x = amt invested at 11%
\n" ); document.write( "\"The remainder is in a savings account at 8%.\" therefore:
\n" ); document.write( "(12000 - x) = amt invested 8%
\n" ); document.write( ":
\n" ); document.write( "Total interest from the two investments = $1200
\n" ); document.write( ".11x + .08(12000-x) = 1200
\n" ); document.write( ":
\n" ); document.write( "Multiply what's inside the brackets
\n" ); document.write( ".11x + 960 - .08x = 1200
\n" ); document.write( ".11x - .08x = 1200 - 960
\n" ); document.write( ".03x = 240
\n" ); document.write( "x = \"240%2F.03\"
\n" ); document.write( "x = $8000 invested at 11%
\n" ); document.write( "then
\n" ); document.write( "12000 - 8000 = $4000 invested at 8%
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\n" ); document.write( ":
\n" ); document.write( "Prove this to yourself, find the total interest
\n" ); document.write( ".11(8000) + .08(4000)
\n" ); document.write( "880 + 320 = 1200
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