document.write( "Question 1146217: Amanda borrowed $6000 from two sources her parents and a credit union her parents charge 3% simple interest and the credit union charged 8% simple interest if after one year Amanda paid $255 in interest how much did she borrow from her parents and how much did she borrow from the credit union \n" ); document.write( "
Algebra.Com's Answer #767518 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Amanda borrowed $6000 from two sources her parents and a credit union her parents charge 3% simple interest and the credit union charged 8% simple interest \n" ); document.write( " if after one year Amanda paid $255 in interest how much did she borrow from her parents and how much did she borrow from the credit union \n" ); document.write( ": \n" ); document.write( "Let x = amt borrow at the credit union at 8% \n" ); document.write( "the total borrowed is $6000, therefore \n" ); document.write( "(6000-x) = amt borrowed from parents at 3% \n" ); document.write( ": \n" ); document.write( "Credit union interest + parents interest = $255 \n" ); document.write( ".08x + .03(6000-x) = 255 \n" ); document.write( ".08x + 180 - .03x = 255 \n" ); document.write( ".08x - .03x = 255 - 180 \n" ); document.write( ".05x = 75 \n" ); document.write( "x = 75/.05 \n" ); document.write( "x = $1500 borrowed from the credit union \n" ); document.write( "then \n" ); document.write( "6000 - 1500 = $4500 borrowed from parents \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out. Find the actual interest from each \n" ); document.write( ".08(1500) = 120 \n" ); document.write( ".03(4500) = 135 \n" ); document.write( "--------------- \n" ); document.write( "total int: 255 \n" ); document.write( " |