Question 95755
Interest(I)=Principal(P)* Rate(R)* Time(T) or I=PRT

Let x=amount invested in the 6% account
Interest at 6%=x*0.06*1 or 0.06x

Then x+1000=amount invested in the 5% account 
Interest at 5%=(x+1000)*0.05*1 or 0.05(x+1000)

Now  we are told that together these accounts pay her $490 per year.  So:

0.06x+0.05(x+1000)=490  get rid of parens

0.06x+0.05x+50=490  subtract 50 from both sides

0.06x+0.05x+50-50=490-50  collect like terms

0.11x=440  divide both sides by 0.11

x=$4000-------------------------amount invested at 6%
x+1000=$4000+$1000=$5000--------------amount invested at 5%

CK

0.06*4000+0.05*5000=490
240+250=490
490=490

Hope this helps-----------------ptaylor