Problem in description

Question

Jody invested 

$4100

 less in an account paying 4%

 simple interest than she did in an account paying 2%

 simple interest. At the end of the first year, the total interest from both accounts was $508

. Find the amount invested in each account.

Answer 1

.04(X-4100) + .02(X) = 508

.04X + .02X = 164+508 = 672

.06X = 672

X = 672/.06 = $11,200 invested at 2%.

X-4100 = $7,100 invested at 4%

4%(7100) + 2%(11,200) = 284 + 224 = 508