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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? $

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Answer:

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

tifanihayyu

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? $2,607.75

How much does it cost to do both rooms in brown? $2,717.55

How much does it cost to do the den in green and the dining room in brown? $2,636.55

How much does it cost to do the den in brown and the dining room in green? $2,688.75

Further explanation

While the calculations for solving this problem  are simple multiplication and addition, the  path to finding the appropriate numbers on  which to operate requires a high degree of  organization. Students must attend not only  to finding the various combinations that are  possible, but they must also attend to the  units in which the areas and prices are  given. Students may choose to use only one  unit of measure for the areas and prices, or  they may use a combination.

By converts the carpet  prices to match the area units of the  rooms, we can know the costs.

Green: $42.75/yard^2 and $4.75 /ft^2

Brown: $44.55/yard^2 and $4.95/ft^2

Dining

Green: 114 ft^2 * $7.45/ft^2 = $684

Green: $684

Brown: 144ft^2*$4.95/ft^2 = $712.80

Brown: $712.80

Den

Green: 45yd^2 * $42.75/yd^2 = $ 1,923.75

Brown: 45 yd^2*$44.55/yd^2 = $2,004.75

Green: $1,923.75

Brown: $2,004.75

Total

Dining+Den

$684+$ 1,923.75 =$ 2,607.75

$684+$2,004.75= $2,688.75

$712.80+ $1,923.75= $2,636.55

$712.80+$2,004.75= $2,717.55

How much does it cost to do both rooms in green? $2,607.75

How much does it cost to do both rooms in brown? $2,717.55

How much does it cost to do the den in green and the dining room in brown? $2,636.55

How much does it cost to do the den in brown and the dining room in green? $2,688.75

Learn more

  1. Learn more about yards https://brainly.com/question/1305187
  2. Learn more about square https://brainly.com/question/8688306
  3. Learn more about carpet https://brainly.com/question/3631637

Answer details

Grade:  5

Subject:  Math

Chapter:  rooms

Keywords: yards, square,  rooms, green, foot

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