Question

A sweater is marked 30% off the original price. The original price was $37.50. What is the sale price of the sweater before sales tax?
(I will give brainliest if you show your work)!!

Answer 1

Answer:

  $26.25

Step-by-step explanation:

To find the discounted price, subtract the discount amount from the original price. The amount of the discount is the product of the discount rate and the original price.

__

  discounted price = original price - (original price) × (discount rate)

You can calculate it this way, or you can factor out the original price:

  discounted price = (origina price) × (1 - discount rate)

  = $37.50 × (1 -0.30) = $37.50 × 0.70 = $26.25

The sale price of the sweater is $26.25.

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Additional comment

The amount of the discount is ...

  $37.50 × 0.30 = $11.25

which makes the discounted price be ...

  $37.50 -11.25 = $26.25

Answer 2

Answer: 26.25

Work:
Our output value is 37.50.

We represent the unknown value with x

From step 1 above, $37.50=100%​.

So, x=30%​.

This results in a pair of simple equations:

$37.50=100%( 1). $x=30%(2)​.

By dividing equation 1 by equation 2 and noting that right hand side of both
equations have the same unit (%); we have

37.5 = 100%
—— ———
X. 30%

Again, the reciprocal of both sides gives

X. 30%
——. ————
37.5 = 100%

30% of 37.5 is 11.25


37.5- 11.25 is 26.25






Hopefully this makes sense