Emily Kailyn received an inheritance of $208, 000.00 from her grandfather and invested part at 10% interest and the rest at 4 % interest. She earned $9160.00 interest each year on his investment. How much did she invest at 4%?

amount at 10% ---- x

amount at 4% ----- 208000-x

.1x + .04(208000-x) = 9160
.1x + 8320 - .04x = 9160
.06x = 840
x = 840/.06 = 14000
she invested $14,000 at 10% and $194,000 at 4%

(I would have reversed those deposits)