Use the information to answer the question. 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. How many sweat shirts were sold in the first hour? Enter the answer in the box. square

Let's denote the original price of a sweatshirt as \( P \).<br /><br />Given that the price of the discounted sweatshirt is $28, and this is after a 30% discount, we can set up the following equation:<br /><br />\[ 0.7P = 28 \]<br /><br />Solving for \( P \):<br /><br />\[ P = \frac{28}{0.7} = 40 \]<br /><br />So, the original price of a sweatshirt is $40.<br /><br />Now, let's denote the number of sweatshirts sold as \( x \). We know that for each sweatshirt sold, the store gets the second one for 30% off. Therefore, the revenue from each sweatshirt can be calculated as follows:<br /><br />- For the first sweatshirt, the store gets the full price: $40.<br />- For the second sweatshirt, the store gets 70% of the original price: \( 0.7 \times 40 = 28 \).<br /><br />The total revenue from \( x \) sweatshirts is given by:<br /><br />\[ 40x + 28(x - 1) = 748 \]<br /><br />Simplifying the equation:<br /><br />\[ 40x + 28x - 28 = 748 \]<br />\[ 68x - 28 = 748 \]<br />\[ 68x = 776 \]<br />\[ x = \frac{776}{68} \]<br />\[ x = 11.41 \]<br /><br />Since the number of sweatshirts sold must be a whole number, we round to the nearest whole number:<br /><br />\[ x \approx 11 \]<br /><br />Therefore, the store sold approximately 11 sweatshirts in the first hour.