How much would it cost to carpet and tile a building of 90' by 60', where 60% is carpeted at $16 per square yard and the rest is tiled at $8 per square yard?

How much would it cost to carpet and tile a building of 90' by 60', where 60% is carpeted at $16 per square yard and the rest is tiled at $8 per square yard?

• A. $7,680
• B. $6,400
• C. $5,500
• D. $8,000

Answer: (A)

To determine the total cost to carpet and tile the building, first calculate the area of the building. The dimensions provided are 90 feet by 60 feet, which gives us a total area of 90 x 60 = 5,400 square feet. Next, divide the total area into the portions that will be carpeted and tiled. Since 60% of the area is carpeted, the carpeted area is calculated as 5,400 square feet x 0.60 = 3,240 square feet. The remaining 40% will be tiled, which is 5,400 square feet x 0.40 = 2,160 square feet. Now, we need to convert these areas from square feet to square yards because the costs are given per square yard. Since there are 9 square feet in a square yard, we convert the areas as follows: - For carpeting: 3,240 square feet ÷ 9 = 360 square yards. - For tiling: 2,160 square feet ÷ 9 = 240 square yards. Next, we calculate the cost of carpeting and tiling separately: 1. Cost for carpeting: 360 square yards x $16 per square yard = $

To determine the total cost to carpet and tile the building, first calculate the area of the building. The dimensions provided are 90 feet by 60 feet, which gives us a total area of 90 x 60 = 5,400 square feet.

Next, divide the total area into the portions that will be carpeted and tiled. Since 60% of the area is carpeted, the carpeted area is calculated as 5,400 square feet x 0.60 = 3,240 square feet. The remaining 40% will be tiled, which is 5,400 square feet x 0.40 = 2,160 square feet.

Now, we need to convert these areas from square feet to square yards because the costs are given per square yard. Since there are 9 square feet in a square yard, we convert the areas as follows:

• For carpeting: 3,240 square feet ÷ 9 = 360 square yards.

• For tiling: 2,160 square feet ÷ 9 = 240 square yards.

Next, we calculate the cost of carpeting and tiling separately:

1. Cost for carpeting: 360 square yards x $16 per square yard = $