SOLUTION: a retiree deposited a total of P15,000 in two different savings account. the interest rate on one accoutnt was 4.5% and the interest rate on the other account was 8.0%. at the end

Algebra.Com
Question 940042: a retiree deposited a total of P15,000 in two different savings account. the interest rate on one accoutnt was 4.5% and the interest rate on the other account was 8.0%. at the end of the year, the interest earned on the first account was P250.00 more than the interest earned on the second account. determine the amount deposited in each account.

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let one investment be x
and other y
1 x + 1 y = 15000 .............1

4.50 x -8 y = 250 .............2
Eliminate y
multiply (1)by 8
Multiply (2) by 1
8 x 8 y = 120000
4.50 x -8 y = 250
Add the two equations
12.50 x = 120250
/ 12.50
x = 9620
plug value of x in (1)
1 x + 1 y = 15000
9620 + y = 15000
y = 15000 -9620
y = 5380
y = 5380 1
x= 9620
y= 5380
m.ananth@hotmail.ca

RELATED QUESTIONS

Andy deposited a total of $2100 in two accounts, a savings account and an investment... (answered by JBarnum)
A woman deposited $650 in a savings account for one year. The rate of interest on the... (answered by rfer)
A teenager has $10,000 invested in a checking account paying 2.5% per year and a savings (answered by math_helper)
Joanne has a total of $5000 deposited into two accounts. One account earns 5% interest... (answered by solver91311)
A total of $5500 was deposited into two simple interest accounts. On one account the... (answered by ikleyn)
A total of $6600 is deposited into two simple interest accounts. On one account the... (answered by lwsshak3)
A total of $7900 is deposited into two simple interest accounts. On one account the... (answered by stanbon)
a student deposited her HS graduation money in the amount of $6200 in two different... (answered by Boreal)
A total of P600 000 is deposited into two simple interest accounts. On one account the... (answered by jojo14344)