Let the price of one pair of ShockTide sneakers be denoted by $p$.

Case 1: 25% off one pair

Braden buys one pair at full price and gets a 25% discount on the second pair. The total amount he would pay is: $\text{Total Cost} = p + 0.75p = 1.75p$

Case 2: $20 off when buying two pairs at full price

In this case, Braden buys both pairs at full price but uses a coupon for $20 off. The total cost is: $\text{Total Cost} = 2p - 20$

Equating both total costs

According to the problem, Braden realizes that the total amounts for both options are the same. Thus, we set up the equation: $1.75p = 2p - 20$

Solving for $p$

$2p - 1.75p = 20$ $0.25p = 20$ $p = \frac{20}{0.25} = 80$

Thus, the price of one pair of ShockTide sneakers is $80.

Clarification or details needed?

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Related Questions:

1. What would the total cost be if Braden bought three pairs with a 25% discount on only one pair?
2. How much would Braden save if the original price per pair was $100 instead of $80?
3. What if the discount was 30% instead of 25%—how would that change his total cost?
4. How would the total cost change if Braden had a coupon for $30 off instead of $20?
5. What is the percentage discount equivalent for the $20 coupon on two pairs if each pair costs $80?

Tip:

Always check both percentage-based discounts and fixed-amount coupons to see which offers a better deal based on the price of the items.