Solve the following problem involving income tax. Show all your work. Priya had $52.50 deducted from their paycheck. If Priya’s income tax rate is 12%, find Priya’s total income before tax. (4 points)

Question

Solve the following problem involving income tax. Show all your work. Priya had $52.50 deducted from their paycheck. If Priya’s income tax rate is 12%, find Priya’s total income before tax. (4 points)

Answer 1

Let's set up an equation to solve the problem.

Let P be Priya's total income before tax.

Since Priya's income tax rate is 12%, Priya's income tax can be represented as 0.12P.

The problem states that $52.50 is deducted from Priya's paycheck. This can be represented as a negative value, -52.50.

Thus, we can write the equation:
P - 52.50 = 0.12P

Let's solve for P:

P - 0.12P = 52.50
0.88P = 52.50
P = 52.50 / 0.88
P ≈ 59.659

Therefore, Priya's total income before tax is approximately $59.659.