Question 99680
Let x=amount that Sarah invested in the savings account

Then 3x=amount that she invested in the mutual fund

Interest(I)=Principal(P) times Rate(R) times Time(T) or I=PRT

(1) Interest on savings account=x*(0.05)*(1)=0.05x

(2) Interest on mutual fund=3x*(0.11)*(1)=0.33x

Now we are told that (1)+(2)=$152.  So our equation to solve is:

0.05x+0.33x=152 combine like terms
0.38x=152  divide both sides by 0.38

x=$400-------------amount that Sarah invested in the savings account

3x=3*$400=$1200----------amount that she invested in the mutual fund

CK
0.05*400+0.11*1200=$152
20+132=152
152=152


Hope this helps---ptaylor