document.write( "Question 514790: Terrell received a settlement for a large sum of money. Last year, he invested three-eights of it at an interest of 14% and one-half of it at a rate of 13%. If the total interest for one year from both investments is $1,292.50, how much was the settlement? \n" ); document.write( "
Algebra.Com's Answer #343578 by mananth(16946)\"\" \"About 
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let total money invested be x
\n" ); document.write( "percent---investment----Interest
\n" ); document.write( "14-------0.38 x-------0.053 x
\n" ); document.write( "13-------0.50 x-------0.065 x
\n" ); document.write( "Totalincome = 1292.5
\n" ); document.write( "0.053 x + 0.065 x= 1292.5
\n" ); document.write( "0.118 x = 1292.5
\n" ); document.write( "/ 0.118
\n" ); document.write( "x= 11000 \r
\n" ); document.write( "\n" ); document.write( "His investment was $11,000 \r
\n" ); document.write( "\n" ); document.write( "3/8+1/2= (3+4)/8 = 7/8 \r
\n" ); document.write( "\n" ); document.write( "7/8 of his inheritance was $11,000
\n" ); document.write( "So he inherited
\n" ); document.write( "(11000/7) *8
\n" ); document.write( "=$12,571.45
\n" ); document.write( "
\n" );