A major convention center, whose floors are covered by a square carpet tiles with side lengths of 9 inches laid out in a 48 by 96 array, held a wild conference over the weekend. A local cleaning company was hired to clean the carpet tiles, given an offer of $0.05 per carpet square. The cleaners accepted the job, but not until after the convention center agreed to their counter of $0.10 per square foot. The cleaners were happy, because they knew they would be getting paid more than the convention center originally offered. How much more exactly?

A. $11.52

B. $28.80

C. $115.20

D. $201.60

Question

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Mathematics

16 April, 14:42

A major convention center, whose floors are covered by a square carpet tiles with side lengths of 9 inches laid out in a 48 by 96 array, held a wild conference over the weekend. A local cleaning company was hired to clean the carpet tiles, given an offer of $0.05 per carpet square. The cleaners accepted the job, but not until after the convention center agreed to their counter of $0.10 per square foot. The cleaners were happy, because they knew they would be getting paid more than the convention center originally offered. How much more exactly?

A. $11.52

B. $28.80

C. $115.20

D. $201.60

+1

Answers (1)

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Jocelynn Pineda · Answer 1

option B

$28.80

Step-by-step explanation:

Given the question,

side length of one square tile = 9 inches

area of square tile = l² = 9² = 81 inches²

Step1

There are 48 (96) = 4608 carpet tiles, so the company was making 4608 ($.05) = $230.40.

Step2

Now, the company countered with square feet. We have a total of 4608 (81) = 373,248 square inches.

1 square foot = 144 square inches.

373,248/144 = 2592 square ft.

2592 ($.10) = $259.20

$259.20 - $230.40 = $28.80