A store is having a sale. The sale is buy one sweat shirt, get the second sweat shirt for 30% off. The price of the discounted sweat shirt is $28. During the first hour of the sale, the store had $748 in sweat shirt sales.

Question

Question
How many sweat shirts were sold in the first hour? Enter the answer in the box.

Response area with 1 text input box

Answer 1

To determine how many sweatshirts were sold, we first need to understand the pricing due to the sale.

Let’s denote the price of the first sweatshirt as \( P \) and the price of the second sweatshirt (at 30% off) as:

\[ 0.7P = 28 \]

From this equation, we can solve for \( P \):

\[ P = \frac{28}{0.7} = 40 \]

Thus, the price of the first sweatshirt is $40, and the price of the second sweatshirt is $28.

Now, when customers buy one sweatshirt and get the second one at 30% off, the total cost for one pair of sweatshirts is:

\[ P + 0.7P = 40 + 28 = 68 \]

Now we can find out how many pairs of sweatshirts were sold to reach the total sales of $748:

\[ \text{Number of pairs} = \frac{748}{68} \approx 11 \]

This means 11 pairs were sold, which corresponds to:

\[ \text{Total sweatshirts sold} = 11 \times 2 = 22 \]

Therefore, the total number of sweatshirts sold in the first hour is:

\[ \boxed{22} \]