Question

college student are offered a 6% discount on a textbook that sells for $42.50. if the sales tax is 6%, find the cost of the textbook including sales tax​

Answer 1

To find the cost of the textbook including sales tax, first calculate the discount and subtract it from the original price. Then, calculate the sales tax and add it to the discounted price. The total cost is $42.35.

Step-by-step explanation:

To find the cost of the textbook including sales tax, first calculate the discount by multiplying the original price by the discount rate:

$42.50 x 0.06 = $2.55

Next, subtract the discount from the original price:

$42.50 - $2.55 = $39.95

Then, calculate the sales tax by multiplying the discounted price by the tax rate:

$39.95 x 0.06 = $2.397

Rounding it to the nearest cent, the sales tax is $2.40.

Finally, add the sales tax to the discounted price to find the total cost:

$39.95 + $2.40 = $42.35

Answer 2

$42.35

Step-by-step explanation:

The discount is 6% so in decimal form it is .06. Multiply that by the original amount $42.50.

42.5 x .06 = 2.55

That is the discount amount so you would subtract you from the original amount.

42.5 - 2.55 = 39.95

That is the cost of the textbook after the discount is applied. To apply the sales tax you would:

39.95 x .06 = 2.397

That is the tax amount so you would add it to the cost of the book.

39.95 + 2.397 = 42.347

Since we are talking about money you would round it to 2 decimal points.

$42.35

Similarly you could just do:

1.0 - .06 = .94

42.5 x .94 = 39.95

It will give you the same answer if you don't want to do it the first way.

Hope it helps! (: