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

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) (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.
-----------
RELATED QUESTIONS
Solve the problems in one variable. A company decided to invest P100, 000 which was... (answered by greenestamps)

A teenager has $10,000 invested in a checking account paying 2.5% per year and a savings (answered by math_helper)

Jane has $10 000 to invest. She invested part of it in a term deposit that pays 4% per... (answered by checkley71)

Dina had $10,000 to invest. She invested part of it in a savings account that pays 4%... (answered by solver91311)

Tran has $10000 to invest. She invested part of it in a term deposit paying 4% per annum... (answered by stanbon)

An investment of Php 100 000 earned a net income of Php 3 450 in one year. Part of the... (answered by ikleyn,solve_for_x)

Mr. Rich invested 50,000. Part of it he put in a gold mine stock from which he hoped to... (answered by Fombitz)

Solve Problems Using Linear Systems 8. Hakim invested $15 000. He put part of it in a... (answered by Earlsdon)

A worker received a $10,000 bonus and decided to split it among three different accounts. (answered by mananth)