LeAnn is a carpet layer. She has agreed to carpet a house for $18 per square yard. The carpet will cost her $11 per square yard, and she knows that there is approximately 12% waste in cutting and matching. If she plans to make a profit of $580.80, how many yards of carpet will she buy?

What is the area that she's carpeting?

A house.

What size is this house? 800 square feet? 1500 square feet? 3,000 square feet?

The question I put in is all the information that was stated.

To find out how many yards of carpet LeAnn will buy, we need to consider the total cost and profit.

Let's go step by step:

1. Calculate the total cost of carpeting the house:
The cost per square yard is given as $18, and to find the total cost, we multiply it by the number of square yards:
Total cost = $18 × number of square yards

2. Calculate LeAnn's cost for purchasing the carpet:
The carpet costs $11 per square yard, and since we know there is approximately 12% waste in cutting and matching, we need to adjust the quantity accordingly. Multiplying by 1.12 will give us the adjusted quantity:
Cost for purchasing carpet = $11 × (1.12) × number of square yards

3. Calculate LeAnn's profit:
Profit = Total cost - Cost for purchasing carpet

4. Set up the equation:
Profit = $580.80, and we already have the formula for profit:
$580.80 = Total cost - Cost for purchasing carpet

5. Substitute the formulas for total cost and cost for purchasing carpet:
$580.80 = ($18 × number of square yards) - ($11 × 1.12 × number of square yards)

6. Solve for the number of square yards:
Combine like terms to isolate the number of square yards:
$580.80 = ($18 - $11.12) × number of square yards
$580.80 = $6.88 × number of square yards
number of square yards = $580.80 / $6.88

7. Calculate the number of yards of carpet:
Since there are 3 feet in 1 yard, divide the number of square yards by 3:
number of yards = (number of square yards) / 3

Now you can plug in the values into the equation and calculate the number of yards of carpet LeAnn will buy.