# Rico invests some of his savings at 3 percent per year & an equal amount at 5 percent per year. His income totals 1,800 a year. How much did Rico invest at each rate?

Jan 31, 2018

22500

#### Explanation:

Let the equal amount in each account be $x$

Then we have:
3%x+5%x=1800

Factor out the $x$

x(3%+5%)=1800

$x \times \frac{8}{100} = 1800$

Multiply both sides by $\frac{100}{8}$

$x = 1800 \times \frac{100}{8}$

$x = 225 \times 100 = 22500$