Short Answer 
The sale price of the shirt is $2.34, which is 80% less than the original price of $11.70. This sale price is 30% greater than the store’s cost, leading to an approximate store cost of $1.80.
Step 1: Determine the Sale Price
First, you’ll need to find the sale price of the shirt, which is 80% less than its regular price of $11.70. Start by calculating 80% of $11.70, which you can do by multiplying:
- 0.80 x 11.70 = 9.36
Then, subtract this amount from the regular price to find the sale price:
- 11.70 – 9.36 = 2.34
Thus, the sale price of the shirt is $2.34.
Step 2: Relate the Sale Price to the Store’s Cost
The next step is to understand the relationship between the sale price and the store’s cost. The sale price of $2.34 is described as being 30% greater than the store’s cost. You can express this relationship with the equation:
- Sale Price = Store’s Cost + 0.30 x Store’s Cost
- This simplifies to: Sale Price = 1.30 x Store’s Cost
Here, if we let ( x ) represent the store’s cost, we can set up the equation:
- 2.34 = 1.30 x
Step 3: Solve for the Store’s Cost
To find ( x ), which represents the store’s cost, divide both sides of the equation by 1.30:
- x = 2.34 / 1.30
- x ‚Äöaa 1.80
This means the store’s cost for the shirt was approximately $1.80. In summary:
- The sale price of the shirt is $2.34.
- This sale price is 30% greater than the store’s cost.
- Therefore, the store’s cost is approximately $1.80.