A certain type of siding for a house costs $10.50...

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

A certain type of siding for a house costs $10.50...

by AAPL » Sat Feb 10, 2018 8:28 pm

A certain type of siding for a house costs $10.50 per square yard. What does it cost for the siding for a wall 4 yards wide and 60 feet long?

A. $800
B. $840
C. $2520
D. $3240
E. $5040

The OA is B.

To solve this PS question, I just need to find the total area in yards of the siding that has 4 yards wide and 60 feet long, right?

I need to convert the 60 feet to yards and then determine the area and get the total cost multiplying the total square yards by $10.50.

I appreciate if any expert explains it to me. Thank you so much.

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Source: Beat The GMAT — Problem Solving | Sat Feb 10, 2018 8:28 pm

EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pm; Thanked: 180 times; Followed by:12 members

by EconomistGMATTutor » Sun Feb 11, 2018 12:36 pm

A certain type of siding for a house costs $10.50 per square yard. What does it cost for the siding for a wall 4 yards wide and 60 feet long?

A. $800
B. $840
C. $2520
D. $3240
E. $5040

The OA is B.

To solve this PS question, I just need to find the total area in yards of the siding that has 4 yards wide and 60 feet long, right?

I need to convert the 60 feet to yards and then determine the area and get the total cost multiplying the total square yards by $10.50.

I appreciate if any expert explains it to me. Thank you so much.

Hi AAPL,
Let's take a look at your question.

Since the cost is given according to per square yard, therefore we will convert the length in yards as well.

We know that:
$$1\ ft=\frac{1}{3}yards$$
$$60\ ft=60\times\frac{1}{3}yards=20\ yards$$
$$Length=20\ yards$$
$$Width=4\ yards$$
$$Area\ of\ wall=Length\times Width$$
$$Area\ of\ wall=20\times4=80\ square\ yards$$
Now, we can find the cost of siding on the wall.
$$Cost\ of\ siding\ per\ square\ yard=10.50$$
$$Cost\ of\ siding\ on\ 80\ square\ yards=80\times10.50=840$$
Therefore, Option B is correct.

Hope it helps.
I am available if you'd like any follow up.

GMAT Prep From The Economist
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GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Mon Feb 19, 2018 3:06 pm

AAPL wrote:A certain type of siding for a house costs $10.50 per square yard. What does it cost for the siding for a wall 4 yards wide and 60 feet long?

A. $800
B. $840
C. $2520
D. $3240
E. $5040

Since 60 feet is 60/3 = 20 yards, the area of the wall is 4 x 20 = 80 yards^2. Thus, it will cost 80 x 10.5 = 840 dollars.

Answer: B

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