The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally
priced $72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's web site for $54.75. A
9% processing fee will be applied to the cost of the shoes, plus a shipping fee of
$5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two
stores?

Respuesta :

Using proportions, it is found that the difference in the total costs of the 12 pairs of shoes between the two stores is of $46.77.

What is a proportion?

A proportion is a fraction of a total amount.

At Super Sports, each pair of shoes costs $72.50, with a discount of 20%(multiplication by 0.8) and a sales tax of 6.5%(multiplication by 1.065). Hence, the total cost of the 12 pairs is given by:

Cs = 12 x 72.50 x 0.8 x 1.065 = $741.24.

At Double Dribble, each shoe costs $54.75, plus a 9% processing free(multiplication by 1.09), plus a shipping fee of $5.99 for each pair, hence the total cost is given by:

Cd = 12 x (1.09 x 54.75 + 5.99) = $788.01.

The difference is given by:

$788.01 - $741.24 = $46.77.

More can be learned about proportions at https://brainly.com/question/24372153