#### Explanation:

To get my answer I did:

$\frac{6.2}{100} = \frac{x}{420}$ for the Social Security taxes

and $\frac{1.45}{100} = \frac{x}{420}$ for Medicare taxes.

I did cross multiplying for both of them to get $100 x = 420 \left(6.2\right)$

and $100 x = 420 \left(1.45\right)$.

In the equation $100 x = 420 \left(6.2\right) , \text{ }$ I multiplied $420 \left(6.2\right)$
to get $2 , 604.$

The equation is now $100 x = 2604$

You divide by $100$ on both sides to get $x = 26.04 .$

She paid $26.04 for Social Security taxes. In the equation of $100 x = 420 \left(1.45\right)$, you simplify, so $420 \times 1.45 = 609.$The equation is now $100 x = 609.$You divide both sides by $100$to get $x = 6.09 .$She paid $6.09 for Medicare taxes.

I added all of the expenses:
Social Security taxes: $26.04, Medicare taxes: $6.09,
health coverage: $10.23, charity: $5.00

to get the total of  $47.36. I subtracted this from her weekly salary : $420 -47.36 = $372.64.  So Samantha's net pay amount is $372.64. #