Question

Which store offers the better incentive if Katelyn wants to buy two pairs of shoes with a regular price of $45 each? Find the difference in the discount amounts between the two stores. Shoe Land BOGO Event: Buy 1, Get 2nd Pair 50% Off Everything Shoe: 30% Off Any Pair of Shoes $35 or More (1 point) Responses Shoe Land offers a better incentive, and the difference in the discount amounts is $4.50. Shoe Land offers a better incentive, and the difference in the discount amounts is $4.50. Everything Shoe offers a better incentive, and the difference in the discount amounts is $27. Everything Shoe offers a better incentive, and the difference in the discount amounts is $27. Shoe Land offers a better incentive, and the difference in the discount amounts is $22.50. Shoe Land offers a better incentive, and the difference in the discount amounts is $22.50. Everything Shoe offers a better incentive, and the difference in the discount amounts is $4.50.

Answers

GPT-4o mini
Let's analyze the discounts from each store for Katelyn's purchase of two pairs of shoes at $45 each.

1. **Shoe Land BOGO Event: Buy 1, Get 2nd Pair 50% Off**
- The cost for the first pair is $45.
- The cost for the second pair at 50% off is \( 45 \times 0.50 = 22.50 \).
- Total cost at Shoe Land = \( 45 + 22.50 = 67.50 \).
- Total discount from regular price:
- Regular price for two pairs = \( 45 \times 2 = 90 \).
- Discount = \( 90 - 67.50 = 22.50 \).

2. **Everything Shoe: 30% Off Any Pair of Shoes $35 or More**
- The discount on one pair is \( 45 \times 0.30 = 13.50 \).
- Cost after discount for one pair = \( 45 - 13.50 = 31.50 \).
- For two pairs:
- Total cost = \( 31.50 \times 2 = 63.00 \).
- Total discount from regular price:
- Regular price for two pairs = \( 90 \).
- Discount = \( 90 - 63 = 27 \).

Now let's summarize the discounts:
- **Shoe Land:** Discount of $22.50
- **Everything Shoe:** Discount of $27

Since Everything Shoe offers a better incentive, we calculate the difference in discount amounts:

\[
27 - 22.50 = 4.50
\]

Therefore, the best answer is: **Everything Shoe offers a better incentive, and the difference in the discount amounts is $4.50.**