Super sports is offering a 20% discount on each pair of shoes.which 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 :

20% discount makes the price $58. Sales tax brings this to $61.77.
On the website the cost is 54.75×1.09+5.99=$65.6675 for each pair.
The difference is exactly $3.8975 or $3.90 if working to the nearest cent.
For 12 pairs the difference in cost is $46.77 or $46.80 respectively.

Answer:

$46.77

Step-by-step explanation:

First, we need to determine what the final price is for each pair in these two stores. In Super Sports, the shoes were originally $72.50, but they had a 20% discount. This means that you would pay for 80% (0.8) of the price:

72.50 * 0.8 = 58

A 6.5% sales tax will be applied to the discounted price. This means you would pay for 106.5% of the price:

58 * 1.065 = 61.77

On the other hand, at Double Dribble, the shoes are originally $54.75. A 9% processing fee is applied to this:

54.75 * 1.09 = 59.67

plus a shipping fee of $5.99:

59.67 + 5.99 = 65.67

If we were to buy 12 pairs of shoes, the prices would be:

Store A: 61.77 * 12 = 741.24

Store B: 65.67 * 12 = 788.01

The difference would be $46.77 (788.01 - 741.24)