# $8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest, how much money was invested at 3%?

##### 1 Answer

Jul 5, 2017

The money invested at

#### Explanation:

We call the quantity invested at

Than we have that $$X+Y=8000$$ and also $$X\times 3/100+Y\times4/100=295.$$

We are interested in

$$X\times 3/100+(8000-X)\times4/100=295$$

and we solve for

$$3X-4X+32000=29500$$

$$-X=29500-32000$$

$$X=2500.$$