Question

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 had budgeted $2,650 for carpeting both rooms. The green carpet she us considering cost $42. 75 per square yard, and the brown carpet’s price is $4. 95 square foot. What are the ways she can carpet the rooms and stay within the budget?

Answer 1

Dining room and den in green

Dining room brown and den green

Explanation:

First, we find the prices of carpeting the dining room and the den in both green and brown. We get 4 different prices.

Dining room:

area = 12 ft × 12 ft = 144 ft² = 16 yd²

Green carpet: 16 × $42.75 = $684

Brown carpet: 144 × $4.95 = $712.80

Den:

area = 9 yd × 5 yd = 45 yd² = 405 ft²

Green carpet: 45 × $42.75 = $1923.25

Brown carpet: 405 × $4.95 = $2004.75

Carpeting options:

There are 4 options to consider -

Dining room and den in green: $684 + $1923.25 = $2607.25

Dining room and den in brown: $712.80 + $2004.75 = $2717.55

Dining room green and den brown: $684 + $2004.75 = $2688.75

Dining room brown and den green: $712.80 + $1923.25 = $2636.05

Now we look at the prices of the 4 options,

$2607.25

$2717.55

$2688.75

$2636.05

and we chose the ones under $2650.

Answer:

Dining room and den in green

Dining room brown and den green