Question

A woman owns a small, cash-only business in a state that requires her to charge 7 % sales tax on each item she sells. At the beginning of the day, she has $230 in the cash register. At the end of the day, she has $1,407.00 in the register. How much money should she send to the state government for the sales tax she collected?

She sent $___ to the government for sales tax.

Answer 1

The woman should send $82.39 to the state government for the sales tax collected, calculated by subtracting the starting cash from the ending cash and multiplying the result by the sales tax rate of 7%.

Step-by-step explanation:

To calculate the amount of sales tax the woman should send to the state government, we first determine the total sales amount without the starting cash. The woman starts with $230, and at the end of the day, the register has $1,407. The total sales amount is $1,407 - $230 = $1,177.

Since the sales tax rate is 7%, we convert this percentage to a decimal to find the tax amount collected. This is done by dividing the percentage by 100, giving us 0.07. We then multiply the total sales amount by this decimal:

Total sales tax collected = $1,177 × 0.07

Total sales tax collected = $82.39

Therefore, the woman should send $82.39 to the state government for the sales tax she collected.