document.write( "Question 520672: two investments were made totaling 8800 dollars. for a certain year these investments yielded 1326 dollars in simple intrest. part of the 8800 was ivested at 14% and part at 16%. Find the amount invested in each rate \n" ); document.write( "

Algebra.Com's Answer #346165 by Maths68(1474) $\"\"$ $\"About$

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Let
\n" ); document.write( "Amount invested at 14% = x
\n" ); document.write( "Amount invested at 16% = 8800-x
\n" ); document.write( "Given
\n" ); document.write( "Total interest on both investments = 1326 \r
\n" ); document.write( "\n" ); document.write( "14% * (x) + 16% * (8800-x) = 1326
\n" ); document.write( "14/100 * (x) + 16/100 * (8800-x) = 1326
\n" ); document.write( "Multiply by 100 both sides
\n" ); document.write( "14 * (x) + 16 * (8800-x) = 1326 * 100
\n" ); document.write( "14x + 140800-16x = 132600
\n" ); document.write( "-2x=132600-140800
\n" ); document.write( "-2x=-8200
\n" ); document.write( "-2x/-2=-8200/-2
\n" ); document.write( "x=4100\r
\n" ); document.write( "\n" ); document.write( "Amount invested at 14% = x = 4100
\n" ); document.write( "Amount invested at 16% = 8800-x = 8800-4100 = 4700\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( "4100 * 14/100 + 4700 * 16/100 = 1326
\n" ); document.write( "Multiply by 100 both sides
\n" ); document.write( "4100*14 + 4700*16 = 132600
\n" ); document.write( "57400+75200=132600
\n" ); document.write( "132600=132600 \n" ); document.write( "

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