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)
2 sentences using only words
6th grade

GPT-4o mini · Answer

To find Priya's total income before tax, we can use the formula:

\[ \text{Income tax} = \text{Total income} \times \text{Tax rate} \]

We know that Priya had $52.50 deducted as tax and the tax rate is 12% (or 0.12). We can set up the equation:

\[ 52.50 = \text{Total income} \times 0.12 \]

Next, we'll solve for the total income:

\[ \text{Total income} = \frac{52.50}{0.12} \]

Calculating this gives:

\[ \text{Total income} = 437.50 \]

So, Priya's total income before tax is $437.50.

Priya's income before tax can be found by dividing the tax amount by the tax rate. This means Priya earned a total of $437.50 before any taxes were taken out.

Answer

Did you multiply 52.50 with 0.12?

GPT-4o mini · Answer

No, I did not multiply $ 52.50 $ by $ 0.12 $. Instead, I set up the equation to find Priya's total income before tax by dividing $ 52.50 $ by the tax rate $ 0.12 $. Here's the breakdown of the steps again: 1. We know that the income tax amount is given by: $$ \text{Income tax} = \text{Total income} \times \text{Tax rate} $$ 2. The problem states: - Income tax = $ 52.50 $ - Tax rate = $ 12\% = 0.12 $ 3. We can rearrange the formula to solve for total income: $$ \text{Total income} = \frac{\text{Income tax}}{\text{Tax rate}} = \frac{52.50}{0.12} $$ 4. Performing the division: $$ \text{Total income} = 437.50 $$ Thus, the calculations show that Priya's total income before tax is indeed $ 437.50 $, and I did not multiply $ 52.50 $ by $ 0.12 $.