Sales Calculation at Tina's Boutique

What are Tina's sales for the month if the total receipts, including sales taxes, is $32340 with a sales tax rate of 5%?

a. $30800

b. It cannot be determined.

c. $32340

d. $30724

Final answer:

To find the amount of Tina's sales excluding the 5% sales tax, we set up and solve the equation $32340 = sales*(1 + 0.05), which gives us a sales amount of $30800.

Explanation:

The problem at hand is a typical one in the field of mathematics. Tina's Boutique had total receipts of $32340 including 5% sales tax. To find Tina's actual sales, we need to figure out how much of that total was the sales tax. Since we know the total includes the tax, we can set up the following equation: total = sales + sales*tax rate, which can be rewritten as: total = sales * (1 + tax rate). We can now solve for sales:

1. Substitute the total and the tax rate into the equation, giving us: $32340 = sales * (1 + 0.05).
2. Simplify the equation to $32340 = 1.05*sales.
3. Divide both sides by 1.05 to get sales = $32340 / 1.05.
4. Computing this gives us sales = $30800.

So, the amount of Tina's sales for the month is $30800.