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.
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