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Senior Manager Joined: 20 May 2014
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In a certain town, the ratio of the number of rented residen [#permalink] 00:00

Question Stats: 66% (00:50) correct 33% (01:22) wrong based on 6 sessions
In a certain town, the ratio of the number of rented residences to the number of owned residences is 7:4. Those are the only two kinds of residences in this town. If there are 150 more rented than owned residences in this town, what is the total number of residences in the town?

A. 200
B. 350
C. 550
D. 700
E. 1100

Kudos for correct solution.
[Reveal] Spoiler: OA
Director Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
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Kudos [?]: 603 , given: 124

Re: In a certain town, the ratio of the number of rented residen [#permalink]
Bunuel wrote:
In a certain town, the ratio of the number of rented residences to the number of owned residences is 7:4. Those are the only two kinds of residences in this town. If there are 150 more rented than owned residences in this town, what is the total number of residences in the town?

A. 200
B. 350
C. 550
D. 700
E. 1100

Here

$$\frac{Rent}{owned} = \frac{R}{O} = \frac{7}{4}$$ (Let R= rent and O = owned)

but Rent = owned + 150

therefore the fraction can be written as = $$\frac{{O+150}}{0} = \frac{7}{4}$$

or O = 200

substituting the value of O we get R = 350.

therefore total = rent + owned = 550
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Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 78 , given: 99

Re: In a certain town, the ratio of the number of rented residen [#permalink]
pranab01 wrote:
Bunuel wrote:
In a certain town, the ratio of the number of rented residences to the number of owned residences is 7:4. Those are the only two kinds of residences in this town. If there are 150 more rented than owned residences in this town, what is the total number of residences in the town?

A. 200
B. 350
C. 550
D. 700
E. 1100

Here

$$\frac{Rent}{owned} = \frac{R}{O} = \frac{7}{4}$$ (Let R= rent and O = owned)
but Rent = owned + 150

therefore the fraction can be written as = $$\frac{{O+150}}{0} = \frac{7}{4}$$

or O = 200

substituting the value of O we get R = 350.

therefore total = rent + owned = 550

how did you come up with this equation. GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783  , given: 397

Re: In a certain town, the ratio of the number of rented residen [#permalink]
1
KUDOS
Expert's post
I am assuming you have understood how the equation are obatined

$$\frac{R}{O} = \frac{7}{4}$$

and $$R=O+150$$

Substitiing R in the first equation...

$$\frac{O+150}{O} = \frac{7}{4}$$

Solve for O $$(O+150) \times 4 = 7O$$ or $$3O=150 \times 4$$ or $$O=200$$.

So we can find the value of R which is O+150 = 350.

So total number of houses is R+O=350+200=550.
_________________

Sandy
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Try our free Online GRE Test Re: In a certain town, the ratio of the number of rented residen   [#permalink] 26 May 2018, 00:47
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