SOLUTION: A company decided to invest Php 100 000. Part was invested in a bank account paying 8% per year, and the remainder was invested in stocks paying 11% interest per year. If the tota

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A company decided to invest Php 100 000. Part was invested in a bank account paying 8% per year, and the remainder was invested in stocks paying 11% interest per year. If the tota      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1047771: A company decided to invest Php 100 000. Part was invested in a bank account paying 8% per year, and the remainder was invested in stocks paying 11% interest per year. If the total yearly interest from the two investments is Php 10 100, how much was invested in each?


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A company decided to invest Php 100 000. Part was invested in a bank account paying 8% per year, and the remainder was invested in stocks paying 11% interest per year. If the total yearly interest from the two investments is Php 10 100, how much was invested in each?
-------------
Equations:
t + e = 100,000
0.08t + 0.11e = 10100
--------------------------------------
8t + 8e = 8*100,000
8t + 11e = 1010000
--------------------------------
Subtract and solve for "e":
3e = 210,000
e = 70,000 (amt invested at eleven%)
t = 100,000-70,000 = 30,000 (amt invested at eight%)
--------------
Cheers,
Stan H.
-----------