Let's analyze the discounts from each store for Katelyn's purchase of two pairs of shoes at $45 each.
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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 = \( 90 - 67.50 = 22.50 \).
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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.