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Amy has a 3600 square foot apartment that she wants to carpet

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Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 27 Jan 2019, 23:47
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Amy has a 3600 square foot apartment that she wants to carpet. The carpeting company informs her that it will cost $200 as a starting fee, with $30 added per square yard. How much will it cost to carpet her entire apartment?
Note: 1 yard = 3 feet.
A) 12200
B) 36000
C) 36200
D) 108000
E) 108200
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Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 28 Jan 2019, 00:03
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4d wrote:
Amy has a 3600 square foot apartment that she wants to carpet. The carpeting company informs her that it will cost $200 as a starting fee, with $30 added per square yard. How much will it cost to carpet her entire apartment?
Note: 1 yard = 3 feet.
A) 12200
B) 36000
C) 36200
D) 108000
E) 108200



$30 added per square yard, means that we have to convert the area in yards

3 feet = 1 yard,
But before you rush to answer the question,

check the units


3600 = 400 yard

1 yard = $ 30
400 yard = 12000

Add the initial fee to get 12000 + 200

A
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Re: Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 24 Jun 2019, 04:19
I think the most tricky aspect here is the conversion from feet to yard.

While we are given the factor 3 feet = 1 yard, we have to notice that we are dealing with square yards/square feet and therefore our new conversion factor is acutally:

9 feet = 1 Square yard.

Hope this helps.

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Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 24 Jun 2019, 05:50
4d wrote:
Amy has a 3600 square foot apartment that she wants to carpet. The carpeting company informs her that it will cost $200 as a starting fee, with $30 added per square yard. How much will it cost to carpet her entire apartment?
Note: 1 yard = 3 feet.
A) 12200
B) 36000
C) 36200
D) 108000
E) 108200


Let's convert square yard to square foot.

1 yard = 3 feet

\(\frac{$30}{yard^2} = \frac{$30}{(3 feet)^2} = \frac{$10/3}{foot^2}\)

Total cost = $200 + 3600 * (10/3) = $12,200

Answer (A)

Check this post on unit conversion: https://www.veritasprep.com/blog/2011/0 ... nd-ounces/
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Re: Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 24 Jun 2019, 20:45
4d wrote:
Amy has a 3600 square foot apartment that she wants to carpet. The carpeting company informs her that it will cost $200 as a starting fee, with $30 added per square yard. How much will it cost to carpet her entire apartment?
Note: 1 yard = 3 feet.
A) 12200
B) 36000
C) 36200
D) 108000
E) 108200


this is a nice question and i got it wrong in my first take.

given:
1 yard = 3 feet
also
1 feet = 1/3 yard

total area = 3600 \(ft^2\) ---> convert to yards

\(3600 * 1/3 * 1/3\)= 400 \(yard^2\)

total fee = 200 + (400 * 30) = 12200

Hence A.

Please give 1 kudos :)
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Re: Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 24 Jun 2019, 22:51
4d wrote:
Amy has a 3600 square foot apartment that she wants to carpet. The carpeting company informs her that it will cost $200 as a starting fee, with $30 added per square yard. How much will it cost to carpet her entire apartment?
Note: 1 yard = 3 feet.
A) 12200
B) 36000
C) 36200
D) 108000
E) 108200


I took a rather simpler approach - since you know the area - just assume ANY dimensions, could be 120*30 or 60*60 or anything whose area would get you 3600 sq feet.

I assumed 60*60, which gives me sides of 60 feet each (now, since it's given 3 feet = 1 yard), without any possibility of getting confused, I know my sides to be 20 yards each now, which gives me the area (in yards) = 400 sq yards.

Now, it's a walk in the park, $200 + 400*$30 = $12200 (A)

SIMPLEST SOLUTION EVER!

PLEASE HIT KUDOS IF YOU LIKE MY SOLUTION
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Re: Amy has a 3600 square foot apartment that she wants to carpet  [#permalink]

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New post 27 Jun 2019, 18:30
4d wrote:
Amy has a 3600 square foot apartment that she wants to carpet. The carpeting company informs her that it will cost $200 as a starting fee, with $30 added per square yard. How much will it cost to carpet her entire apartment?
Note: 1 yard = 3 feet.
A) 12200
B) 36000
C) 36200
D) 108000
E) 108200



Since 1 yard = 3 feet, then 1 square yard = 3 x 3 = 9 square feet.

Since 3600 ft^2 = 3600/9 = 400 yd^2, then the cost will be:

200 + 30 x 400 = 200 + 12000 = 12,200

Answer: A
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Re: Amy has a 3600 square foot apartment that she wants to carpet   [#permalink] 27 Jun 2019, 18:30
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