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Three walls have wallpaper covering a combined area of 300 square mete

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Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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Question Stats:

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T.O. Sets gave me trouble, so I came up with another example to practice. Hope it helps you, too.

Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?

A. 5 Square Meters
B. 36 Square Meters
C. 42 Square Meters
D. 83.3 Square Meters
E. 120 Square Meters
[Reveal] Spoiler: OA

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Last edited by rockzom on 14 Nov 2010, 20:12, edited 1 time in total.

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Re: Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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Re: Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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Total = Group1 + Group2 + Group3 - (sum of 2-group overlaps) - 2*(all three)

OR; 180 = 300 - 36 - 2* (exactly 3 overlap)

OR; 2* (exactly 3 overlap) = 264-180 = 84

OR; (exactly 3 overlap) = 42

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Re: Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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New post 14 Nov 2010, 20:17
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S = Single
D = Double
T = Triple

S + 2D + 3T = 300
S + D + T = 180

Subtract.

D + 2T = 120

36 is the double overlap, so...

36 + 2T = 120
2T= 120-36
2T = 84
T = 42

Or C.
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Re: Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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rockzom wrote:
T.O. Sets gave me trouble, so I came up with another example to practice. Hope it helps you, too.

Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?

A. 5 Square Meters
B. 36 Square Meters
C. 42 Square Meters
D. 83.3 Square Meters
E. 120 Square Meters


300 - 180 = 120 sq m of the wallpaper overlaps (in either two layers or three layers)
If 36 sq m has two layers, 120 - 36 = 84 sq m of the wallpaper overlaps in three layers. 84 sq m makes two extra layers hence the area over which it makes two extra layers is 42 sq m.
Answer (C).

Similar question:
three-rugs-have-a-combined-area-of-102326.html
This question has 'Rug' instead of 'Wallpaper'
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Re: Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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Hello from the GMAT Club BumpBot!

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Re: Three walls have wallpaper covering a combined area of 300 square mete [#permalink]

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New post 02 Aug 2017, 00:06
rockzom wrote:
T.O. Sets gave me trouble, so I came up with another example to practice. Hope it helps you, too.

Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?

A. 5 Square Meters
B. 36 Square Meters
C. 42 Square Meters
D. 83.3 Square Meters
E. 120 Square Meters


What is the difficulty level of this question; wish to solve more like this.........
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Re: Three walls have wallpaper covering a combined area of 300 square mete   [#permalink] 02 Aug 2017, 00:06
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