Braden wants to buy two pairs of the new ShockTide sneakers in different colors. At Vic's Sneaks, he can get 25% off one pair if he buys the other pair at full price. Alternatively, he can use a coupon for $20 off if he buys two pairs at full price. After considering his options, Braden realizes he would pay the same total amount for either option.

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?
- Would you like a breakdown of the steps or further details?
  
### 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.

Explore how to compare two different discount options for purchasing ShockTide sneakers using algebra. This problem demonstrates how to calculate total costs with percentage discounts and fixed-amount coupons, and solve for the original price of the sneakers. Suitable for students in Grades 6-8.

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