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# 40 percent of Andrea's living room floor is covered by a carpet that i

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Math Expert
Joined: 02 Sep 2009
Posts: 59634
40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 03:09
00:00

Difficulty:

5% (low)

Question Stats:

95% (00:45) correct 5% (00:36) wrong based on 94 sessions

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40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?

A. 14.4
B. 180/7
D. 50.4
C. 60
E. 90

Kudos for a correct solution.

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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 03:59
Bunuel wrote:
40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?

A. 14.4
B. 180/7
D. 50.4
C. 60
E. 90

Kudos for a correct solution.

40% of Area of the floor = 4*9 square feet = 36 square feet

i.e. 100% Area of Floor = (36/40)*100 = 90 square feet

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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 05:24
40% of the total area = 9X4 = 36, so total area = 100*36/40 = 90.
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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 06:20
40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?

Solution -

Area of Carpet - 4*9 =36 is 40% of total area Y.

36 = (40/100)*Y ----> Y = 90
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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 06:22
1
E.

$$\frac{2}{5}$$ = $$\frac{4*9}{x}$$
$$x = \frac{180}{2} = 90$$

For a second I thought it was a trick question. Looking at the answer choices, only E fit the problem.
A. 14.4 If the rug is 40%, the area of the floor must be atleast the area of the carpet.
B. 180/7 Same as above. The 180 is a trick.
D. 50.4 Trap answer. ~5/8 of floor <> 3/5 of floor. Perhaps the answer choices 54 would throw more test takers off.
E. 90 Valid
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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 08:16
1
Bunuel wrote:
40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?

A. 14.4
B. 180/7
D. 50.4
C. 60
E. 90

Kudos for a correct solution.

First Calculate the Area covered by carpet: 4*9=36
These 36 square feet account for 40%
36/4*10 = 90 square feet = 100%
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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 08:55
4*9 = (40/100 )* x

so x = 4*9*100/40 = 90

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Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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01 Jul 2015, 12:51
1
Bunuel wrote:
40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?

A. 14.4
B. 180/7
D. 50.4
C. 60
E. 90

Kudos for a correct solution.

E is correct

total Area=90 sq feet

40% of Area of the floor = 4*9 square feet = 36 square feet

i.e. Area of Floor = (36/40)*100 = 90 square feet
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Posts: 59634
Re: 40 percent of Andrea's living room floor is covered by a carpet that i  [#permalink]

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06 Jul 2015, 03:27
Bunuel wrote:
40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?

A. 14.4
B. 180/7
D. 50.4
C. 60
E. 90

Kudos for a correct solution.

MANHATTAN GMAT OFFICIAL SOLUTION:

The area of the carpet is equal to l*w, or 36 ft^2. Set up a proportion to find the area of the whole living room floor:

40/100 = 36/x
x = 90 ft^2.

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Re: 40 percent of Andrea's living room floor is covered by a carpet that i   [#permalink] 06 Jul 2015, 03:27
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