Question 161577
Let C the first aount of money
anc D=C+1500 the second amount

then

{{{C(0.05)+D(0.06)=420}}}
then
{{{C(0.05)+(C+1500)(0.06)=420}}}
then
{{{C(0.11)+90=420}}}
then
{{{C(0.11)=330}}}
then
{{{C=330/0.11=3000}}}

Answer: Allie invested 3000 at 5% and 4500 at 6%