Question

4. Algebra The deductions from Emily's monthly pay are FIT of $112,

state income tax of 4% of her gross pay, city income tax (CIT) of 1.5% of
her gross pay, Social Security, and Medicare. Her monthly net pay is
$3,223. Find her monthly gross pay.

Answer 1

Let G be Emily's gross pay.

Deductions:

FIT = 112

State Tax = 0.04G

City Tax = 0.015G

Social Security and Medicare

Net pay = Gross pay - Deductions

3,223 = G - 112 - 0.04G - 0.015G - Social Security - Medicare

We can then solve for G by isolating it on one side of the equation:

3,223 + 112 + 0.04G + 0.015G = G - Social Security - Medicare

3,223 + 0.055G = G - (Social Security + Medicare)

Now we can solve for G by dividing both sides by 1.055

G = 3223 / 1.055 + (Social Security + Medicare)

So we can find the gross pay but we don't have the exact amount for Social Security and Medicare that are being deduced.