Problema Solution

felica decided to invest 18000 of her retirement fund conservatively. she invested part of this money into one account that pays 4% simple interest and part into another account that pays 3% simple interest. last year she earned 600 in interest. how much did she invest in each account?

Answer provided by our tutors

Let

x = the money invested into the account paying 4% simple interest

y = the money invested into the account paying 3% simple interest

Since the total money invested is $18,000 we have:

x + y = 18,000

The simple interest earned in 1 year is $600 means:

0.04x + 0.03y = 600

We have the following system of equations:

x + y = 18000

0.04x + 0.03y = 600

........

click here to see the system of equations solved for x and y

........

x = $6,000

y = $12,000

Felicia invested $6,000 into the account paying 4% simple interest and $12,000 into the account paying 3% simple interest.