Answer:
She will be paid $1,350
Step-by-step explanation:
Let the flat rate be $x and the fixed percentage be y% = y/100
Thus, her payment per month will be
x + (y% of monthly amount) = Payment
For the 1st month, her pay calculations will look like this;
x + y/100 *(16,000) = 1,600
x + 160y = 1600 •••••••••(i)
For the month before the last, her calculations would be;
x + y/100(12,000) = 1,400
x + 120y = 1,400 ••••••••(ii)
It is these two equations that we now solve simultaneously.
We can directly get this by subtracting equation ii from i
That would be;
(x-x) + (160y-120y) = (1600-1400)
40y = 200
y = 200/40
y = 5%
To get x, we can substitute in any of the equations
Let us use equation ii
x + 120(5) = 1,400
x + 600 = 1,400
x = 1,400-600
x = $800
Thus, for $11,000 , the equation will be as follows;
x + (y% of amount) = payment
= $800 + (5/100 * 11,000) = $800 + $550 = $1,350