document.write( "Question 329117: Pat invested a total of $3000. Part of the money yields 10% interest per year and the rest yields %8 interest per year. If the total yearly interest fromt his investment is $256 how much did Pat invest at 10% and how much did she invest at 8%??? \n" ); document.write( "
Algebra.Com's Answer #235849 by stanbon(75887) ![]() You can put this solution on YOUR website! Pat invested a total of $3000. Part of the money yields 10% interest per year and the rest yields %8 interest per year. If the total yearly interest fromt his investment is $256 how much did Pat invest at 10% and how much did she invest at 8%??? \n" ); document.write( "----------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Equation: x + y = 3000 \n" ); document.write( "Interest Equation:0.10x + 0.08y = 256 \n" ); document.write( "------------------ \n" ); document.write( "Multiply thru the Quantity Eq. by 10 \n" ); document.write( "Multiply thru the Interest Eq. by 100 \n" ); document.write( "------------------ \n" ); document.write( "10x + 10y = 30000 \n" ); document.write( "10x + 8y = 25600 \n" ); document.write( "------------------ \n" ); document.write( "Subtract and solve for \"y\": \n" ); document.write( "2y = 4400 \n" ); document.write( "y = $2200 (amt. invested at 8%) \n" ); document.write( "Since x+y = 3000, x = $800 (amt invested at 10%) \n" ); document.write( "================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " |