Answer:
$415 at 6% and $1315 at 14%
Step-by-step explanation:
She has x amount at 6%.
She has y amount at 14%.
y = x + 900
0.06x + 0.14y = 209
Since the first equation is already solved for y, we use the substitution method. Substitute x + 900 for y in the second equation and solve for x.
0.06x + 0.14(x + 900) = 209
0.06x + 0.14x + 126 = 209
0.2x = 83
x = 415
y = x + 900
y = 415 + 900
y = 1315
Answer: $415 at 6% and $1315 at 14%