California Real Estate Practice Exam

An apartment owner desires to carpet his units. The area to be covered is 60% of the total 15,000 sq. ft. living space in the building. If the total cost of the carpet (including installation) is $14 per sq. yd., what will be the owner's total expenditure?

1. $12,000

2. $14,000

3. $16,000

4. $18,000

The correct answer is: $12,000

To determine the total expenditure for carpeting the apartment units, we first need to calculate the area that will be carpeted. Since the owner wants to cover 60% of the total living space, we find 60% of 15,000 sq. ft.: \[ 0.60 \times 15,000 = 9,000 \text{ sq. ft.} \] Next, we need to convert the area from square feet to square yards because the cost of the carpet is given in dollars per square yard. There are 9 square feet in 1 square yard, thus: \[ \text{Area in sq. yd.} = \frac{9,000 \text{ sq. ft.}}{9 \text{ sq. ft./sq. yd.}} = 1,000 \text{ sq. yd.} \] Now that we have the area to be carpeted in square yards, we can calculate the total cost. The cost of the carpet, including installation, is $14 per square yard, so: \[ \text{Total cost} = 1,000 \text{ sq. yd.} \times 14 \text{ dollars/sq.