The Hewitt family is buying carpet for two rooms. The dining room is a square that measures 12 feet on each side. The den is 9 yards by 5 yards. Mrs. Hewitt has budgeted $2,650 for carpeting both rooms. The green carpet she is considering costs $42.75 per square yard, and the brown carpet's price is $4.95 per square foot.

How much does it cost to do both rooms in green? $

How much does it cost to do both rooms in brown? $

How much does it cost to do the den in green and the dining room in brown? $

How much does it cost to do the den in brown and the dining room in green? $

Question 1: $2,607.75

Question 2: $2,717.55

Question 3: $2,636.55

Question 4: $2,688.75

Step-by-step explanation:

Dining room is 12 feet by 12 feet, so area is 12 * 12 = 144 sq. ft.

Den is 9 yards by 5 yards, so area is 9 * 5 = 45 sq. yd.

To get sq. ft. into sq. yards, we divide by (3*3) = 9

So, 144 sq ft = 144/9=16 sq. yd.

To get sq. yd. into sq. ft, we multiply by (3*3) = 9

So, 45 sq. yd = 45 * 9 = 405 sq. ft.

Hence,

Dining Room:

144 sq. ft. OR 16 sq. yd.

and

Den:

405 sq. ft. OR 45 sq. yd.

Question1:

How much does it cost to do both rooms in green? $

Green costs 42.75 per square yards. Total area of both room (in yards) is 16 + 45 = 61 sq. yd.

So cost is 61 * 42.75 = $2,607.75

Question2:

How much does it cost to do both rooms in brown? $

Brown costs $4.95 per square foot. Total area of both room (in feet) is 144 + 405 = 549 sq. ft.

So cost is 549 * 4.95 = $2,717.55

Question3:

Area of Den (in sq. yd) is 45. Green costs 42.75 per sq. yd. So

Cost = 45 * 42.75 = $1,923.75

and

Area of Dining (in sq. feet) is 144. Brown costs 4.95 per sq. ft. So

Cost = 144 * 4.95 = $712.8

Total Cost = 1923.75 + 712.8 = $2,636.55

Question4:

Area of Den (in sq ft) is 405. Brown costs 4.95 per sq. ft. So

Cost = 405 * 4.95 = $2,004.75

and

Area of Dining (in sq. yd.) is 16. Green costs 42.75 per square yards. So

Cost = 16 * 42.75 = $684

Total Cost = 2004.75 + 684 = $2,688.75