SOLUTION: Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account       Log On


   



Question 1129559: Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 1944 dollars. How much did she invest at each rate?
5% interest-
8% interest-

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +P+ = amount invested @ 8%
+2P+%7D%7D+=+amount+invested+@+5%25%0D%0ALet+%7B%7B%7B+I+ = amount of interest from 8% account
+1944+-+I+ = amount of interest from 5% account
----------------------------------------------------------
(1) +I+=+P%2A.08%2A1+
(2) +1944+-+I+=+2P%2A.05%2A1+
------------------------------------
(1) +I+=+.08P+
(2) +1944+-+I+=+.1P+
----------------------------
Plug (1) into (2)
(2) +1944+-+.08P+=+.1P+
(2) +.18P+=+1944+
(2) +P+=+10800+
and
+2P+=+21600+
-------------------------
$21,600 @ 5%
$10,800 @ 8%
------------------------
check:
(1) +I+=+.08P+
(1) +I+=+.08%2A10800+
(1) +I+=+864+
and
(2) +1944+-+I+=+.1P+
(2) +1944+-+I+=+.1%2A10800+
(2) +I+=+1944+-+1080+
(2) +I+=+864+
OK