SOLUTION: aliya deposited half as much money in a savings account earning 1.9% simple interest as she investor in a money market account that earns 3.8 simple interest. if the total interest

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: aliya deposited half as much money in a savings account earning 1.9% simple interest as she investor in a money market account that earns 3.8 simple interest. if the total interest      Log On


   



Question 1070072: aliya deposited half as much money in a savings account earning 1.9% simple interest as she investor in a money market account that earns 3.8 simple interest. if the total interest after one year is $209.00, how much did she invest in each account
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Aliya deposited half as much money in a savings account earning 1.9% simple interest as she invested in a money market account that earns 3.8 simple interest.
if the total interest after one year is $209.00, how much did she invest in each account
:
let a = amt invested Savings
then
2a = amt invested in MM Acct
:
Sav Int + MM Int = 209
.019a + .038(2a) = 209
.019a + .076a = 209
.095a = 209
a = 209/.095
a = $2200 invested in savings
then, obviously
$4400 invested in MM
:
;
Check by finding that actual int from each
.019(2200) = 41.80
.038(4400) = 167.20
----------------------
Total Int: 209.00