Answer:
first account with 6% interest ( x ) = $46000
second account with 4% interest ( y ) = $19000
Step-by-step explanation:
Principal = $65000
first interest rate = 6%
second interest rate = 4%
assuming ; X = money invested in first account , Y = money invested in second account
hence :
( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520
3900 - 0.06 y + 2600 - 0.04 x = 3520
0.04 x + 0.06 y = 3900 + 2600 - 3520
0.04 x + 0.06 y = 2980 ----- ( 1)
x + y = 65000 ------- ( 2 )
solve equation 1 and 2 simultaneously by elimination method
0.04 x + 0.06 y = 2980 ------ ( 3 )
0.06 x + 0.06 y = 3900 ------- ( 4 )
subtract equation 3 form equation 4
0.02 x = 920 , hence x = $46000
therefore y = $65000 - $46000 = $19000
