posted by .

A principal of \$2500 is invested,part at 8% per annum and the rest at 12% per annum. In a year, the 8% investment interest was doubled the 12% investment interest. How much invested at each rate? Express in the form Ax+By=C

amount invested at 8% ---- x
amount invested at 12% --- y

x+y = 2500

.08x= 2(.12)y = .24y
times 100
8x = 24y
x = 3y
sub into the 1st
3y + y = 2500
4y = 2500
y = 625
then x = 1875

\$1875 were invested at 8% and 625 were invested at 12%

check:
.08(1875) = 150
.12(625) = 75
we can see that 150 is twice 75

## Similar Questions

1. ### Math

John invested \$2500, part at 8% and the rest at 12% per annum. The two parts earned equal amount of interest in one year. How much was invested at each rate?
2. ### math

jodi earns a simple interest of R1200 on a 4-year investment paying 6% per annum . how much was his principal investment?
3. ### Math

How to calculate this? 4 year term investment. The investment offers a rate of 2.25% per annum, compounded semi-annually. Another investment offers a rate of 2.25% annum, per compounded quarterly. Final investment offers a rate of
4. ### Math

Which is the better investment over a y year term?
5. ### Math help!

Which is the better investment over a y year term?
6. ### math

8.Mary invested RM3000 in two accounts, some at 12% per annum and the rest at 8 percent per annum.Her total interest for one year was RM3200.how much was invested at each rate?
7. ### math

A.) start by calculating how long it will take you to save enough money and pay cash with your potential \$300.00/month savings, taking into account the \$1000.00 you have already saved. B.)Now imagine you have invested your original …
8. ### math

hakiim invested 15000 he put part of it in a term deposit that paid 4% per annum and the remainder in a treasury bill that paing 5% per annum after one year the total interest was 690 how much did hakiim invest at each rate
9. ### math

An investor receives a total of Rs.5,700 per annum in interest from 3 stocks yielding 4%, 5% and 8% per annum respectively. The amount at 4% is Rs.20,000 more than the amount invested at 5%, and the interest from the 8% investment …
10. ### Math

An investor receives a total of Rs.5,700 per annum in interest from 3 stocks yielding 4%, 5% and 8% per annum respectively. The amount at 4% is Rs.20,000 more than the amount invested at 5%, and the interest from the 8% investment …

More Similar Questions