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.
Let's first find the original price of the sweatshirt. Since the discounted price ($28) is 70% of the original price, we can let x be the original price of the sweatshirt and set up the equation:
0.70x = 28
Now, we just need to solve for x:
x = 28 / 0.70
x = 40
So, the original price of the sweatshirt is $40.
Now that we know the original price, we can find the price of each pair of sweatshirts:
40 (original sweatshirt) + 28 (discounted sweatshirt) = $68
Now, we can find how many pairs of sweatshirts were sold in the first hour by dividing the total sales by the cost per pair:
748 (total sales) / 68 (price per pair) = 11 pairs
Since each pair of sweatshirts consists of 2 sweatshirts, 11 pairs of sweatshirts would equal:
11 pairs * 2 sweatshirts = 22 sweatshirts.
So, 22 sweatshirts were sold in the first hour.