Teagan Wolf

2023-03-14

During a clothing store's Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated. What is the equation that shows the discounted price?

Kiara Rollins

Beginner2023-03-15Added 6 answers

To determine the total cost of the t-shirts, we can use the following formula:

$t=(p-d)+r(p-d)$

Where:

t is the total price of the thsirts.

p is the original price of the tshirts.

d is the amount of the discount: $5 for this problem.

r is the tax rate: 5% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 5% can be written as $\frac{5}{100}$.

We can modify the data we have to provide the following formula:

$t=(p-\$5)+\frac{5}{100}(p-\$5)}$

The right side of the equation can also be written as follows:

$t=1(p-\$5)+\frac{5}{100}(p-\$5)}$

$t=\frac{100}{100}(p-\$5)+\frac{5}{100}(p-\$5)}$

$t=(\frac{100}{100}+\frac{5}{100})(p-\$5)}$

$t=\frac{105}{100}(p-\$5)}$

$t=(p-d)+r(p-d)$

Where:

t is the total price of the thsirts.

p is the original price of the tshirts.

d is the amount of the discount: $5 for this problem.

r is the tax rate: 5% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 5% can be written as $\frac{5}{100}$.

We can modify the data we have to provide the following formula:

$t=(p-\$5)+\frac{5}{100}(p-\$5)}$

The right side of the equation can also be written as follows:

$t=1(p-\$5)+\frac{5}{100}(p-\$5)}$

$t=\frac{100}{100}(p-\$5)+\frac{5}{100}(p-\$5)}$

$t=(\frac{100}{100}+\frac{5}{100})(p-\$5)}$

$t=\frac{105}{100}(p-\$5)}$

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