Final answer:
To find Alexandra's salary before taxes, we can set up and solve an equation. The answer is $560.
Step-by-step explanation:
To solve this problem, we can set up an equation to represent the given information. Let x be Alexandra's salary before taxes. We are told that her take-home pay is 7/10 of her salary before taxes, so her take-home pay would be (7/10)x. We can set up the equation:
(7/10)x = 392
To solve for x, we can multiply both sides of the equation by the reciprocal of 7/10, which is 10/7. This gives us:
(10/7)(7/10)x = (10/7)(392)
Simplifying, we get:
x = 560
Therefore, Alexandra's salary before taxes for the pay period that resulted in $392 of take-home pay is $560.