Posted by **Julia** on Saturday, February 14, 2009 at 4:05pm.

Ms. Buxx invested a total of $2000 in two saving accounts. The first account pays 3% intrest per year. The second accout pays 5% intrest per year. If the intrest form both accounts totals $84 dollars per year how much is invested in each account?

- Algebra 1 -
**drwls**, Saturday, February 14, 2009 at 4:12pm
Solve these two equations in two unknowns. Let X be the amount invested at 3% and Y be the amount invested at 5%.

X + Y = 2000

0.03 X + 0.05 Y = 84

I recommend substituting 2000-X for Y in the second equaion, and than solving for X

The first step will give you

0.03 X + 0.05(2000-X) = 0

0.03 X + 100 - 0.05X = 0

Take it from there. Solve for X and then use Y = 2000 - X

- Algebra 1 -
**Logan**, Saturday, February 14, 2009 at 4:17pm
But then you get x=5000. Which is much more than the investment.

- Algebra 1 -
**drwls**, Saturday, February 14, 2009 at 4:24pm
My mistake, sorry.

0.03 X + 100 -0.05X = 84

16 = 0.02 X

X = 800

Y = 1200

- Algebra 1 -
**LITHIUM**, Wednesday, December 12, 2012 at 10:17pm
really and truly it would be simpler if you multiply everything in the second equation by 100 then solve with whole numbers

## Answer this Question

## Related Questions

- mat h - ms. buxx invested a total of $2000 in two savings accounts. The first ...
- Math - Travis has a total of $6,000 invested in two accounts. The total amount ...
- collage math - A total of $13,000 is invested in two accounts. One of the two ...
- math - An investor has 7000 to invest in two accounts. The first account earns 8...
- sauce - a man deposits $8000 in his bank account.if the bank pays 8% compoud ...
- math - if I deposited $100 in your savings account today, how much will you have...
- business mathemathics - sharry made a desposit of $860 to open a savings account...
- algebra - Mary has a total of $5000 invested in two accounts. One account pays 5...
- algebra - Mary has a total of $5000 invested in two accounts. One account pays 5...
- math - last year Jodie invested $10000, part at 6% anual intrest and the rest at...

More Related Questions