You purchase 91/2 yards of fabric at $11.00 per yard. There is a 7% sales tax. What is the total cost of fabric?
9.5 * 11.00 * 1.07 = ?
$12.07
9.5x11.00=104.5
104.5x1.07=111.815
$111.82
To calculate the total cost of the fabric, we need to find:
1. The cost of the fabric before tax.
2. The amount of sales tax.
3. The total cost of the fabric, including tax.
Let's break it down step by step:
1) Cost of the fabric before tax:
The cost per yard is $11.00, and you purchased 9 1/2 yards of fabric. To find the cost before tax, multiply the cost per yard by the number of yards you purchased:
Cost before tax = $11.00/yard * 9.5 yards
To calculate this, we convert the mixed number to an improper fraction: 9 1/2 is equivalent to 19/2.
Cost before tax = $11.00/yard * 19/2 yards
Now, simplify the fraction by multiplying the numerators and the denominators:
Cost before tax = $11.00 * 19 / 2
Calculate the multiplication first:
Cost before tax = $209.00 / 2
Divide the numerator by the denominator:
Cost before tax = $104.50
So, the cost of the fabric before tax is $104.50.
2) Amount of sales tax:
The sales tax rate is 7%. To find the amount of sales tax, multiply the cost before tax by the tax rate:
Tax amount = Cost before tax * Tax rate
= $104.50 * 7/100
Calculate the multiplication first:
Tax amount = $104.50 * 0.07
Tax amount = $7.32
Therefore, the amount of sales tax is $7.32.
3) Total cost of the fabric, including tax:
To find the total cost of the fabric, add the cost before tax and the sales tax amount:
Total cost = Cost before tax + Tax amount
= $104.50 + $7.32
Calculate the addition:
Total cost = $111.82
So, the total cost of the fabric, including tax, is $111.82.