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Each of the 576 houses in Tenantville is owned by one of th
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06 Jun 2017, 06:36
06 Jun 2017, 06:36
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76% (03:00) correct
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Each of the 576 houses in Tenantville is owned by one of the following landlords: Matt, Gavin, Angela, or Susan. Matt and Angela together own twice as many houses as Gavin and Susan own. If Gavin owns 100 more houses than Susan owns, and Matt owns 100 more houses than Angela owns, how many houses does Susan own?
A) 46
B) 142
C) 146
D) 192
E) 242
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Re: Each of the 576 houses in Tenantville is owned by one of th
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06 Jun 2017, 15:26
06 Jun 2017, 15:26
1
Carcass wrote:
Each of the 576 houses in Tenantville is owned by one of the following landlords: Matt, Gavin, Angela, or Susan. Matt and Angela together own twice as many houses as Gavin and Susan own. If Gavin owns 100 more houses than Susan owns, and Matt owns 100 more houses than Angela owns, how many houses does Susan own?
A) 46
B) 142
C) 146
D) 192
E) 242
Since we're trying to determine the number of houses Susan owns, let's focus on her info first.
Gavin owns 100 more houses than Susan owns
Let x = number of houses Susan owns
So, x+100 = number of houses Gavin owns
Matt and Angela together own twice as many houses as Gavin and Susan own
So, combined houses of Matt and Angela = 2(combined houses of Gavin and Susan)
We get: combined houses of Matt and Angela = 2(x + x+100)
Simplify: combined houses of Matt and Angela = 2(2x + 100)
Simplify: combined houses of Matt and Angela = 4x + 200
Each of the 576 houses in Tenantville is owned by one of the following landlords: Matt, Gavin, Angela, or Susan
So, (# of Matt's houses) + (# of Angela's houses) + (# of Gavin's houses) + (# of Susan's houses) = 576
We can combine the first two values to get: (combined houses of Matt and Angela) + (# of Gavin's houses) + (# of Susan's houses) = 576
Substitute to get: 4x + 200 + x+100 + x = 576
Simplify: 6x + 300 = 576
Solve to get: x = 46
Answer:
Show: ::
A
Cheers,
Brent
Re: Each of the 576 houses in Tenantville is owned by one of th
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25 Sep 2021, 00:01
25 Sep 2021, 00:01
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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