https://file.aiquickdraw.com/mathbot/file/1727772215715h1kkod72.jpg

The question in the image asks for the original price at which a store sold shoes. Let me break down the problem and solve it step-by-step:

### Problem Description:
- The store purchases a pair of shoes for $70.
- The store marks up the price by 80% to maximize profit.
- After four weeks, the shoes did not sell, and the price was reduced to $110.

### Solution:
First, we need to determine the original price the store set for the shoes by marking up the $70 cost by 80%.

#### Step 1: Find the mark-up amount
The markup is 80% of the cost price. 
Markup = $ 70 \times 0.80 = 56 $ dollars.

#### Step 2: Find the original price
Original price = Cost price + Markup  
Original price = $ 70 + 56 = 126 $ dollars.

Therefore, the store originally priced the shoes at **$126**.

### Would you like more details on this, or do you have any questions?

### Relative Questions:
1. What would the price be if the markup was 100%?
2. How much profit would the store make if the shoes sold for $126?
3. If the store offered a 20% discount on the $126 price, what would the new price be?
4. What would the final price be if the markup was only 50% instead of 80%?
5. How would the price change if the cost of the shoes was $80 instead of $70?

### Tip:  
Always calculate the percentage based on the cost price for accurate markup or discount results.

A store purchases a pair of shoes for its inventory at a cost of $70. The store marks up the sales price 80% to maximize its profit. After 4 weeks, the shoes did not sell, so the store reduces the price of the shoes to $110. What price did the store originally sell the shoes for?

Learn how to calculate the original selling price of a product marked up by 80%. In this example, a store buys shoes for $70 and marks them up by 80%, resulting in an original price of $126. Understand the concepts of percentage markup and profit calculations. Suitable for students in Grades 6-8.

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