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# Two parking lots can hold a total of 115 cars. The Green lot

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GMAT Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Two parking lots can hold a total of 115 cars. The Green lot [#permalink]  14 Jun 2018, 14:03
Expert's post
00:00

Question Stats:

58% (00:24) correct 41% (00:18) wrong based on 12 sessions
Two parking lots can hold a total of 115 cars. The Green lot can hold 35 fewer cars than the Red lot. How many cars can the Red lot hold?

(A) 35
(B) 40
(C) 70
(D) 75
(E) 80
[Reveal] Spoiler: OA

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Sandy
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Director
Joined: 20 Apr 2016
Posts: 743
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Kudos [?]: 500 [0], given: 86

Re: Two parking lots can hold a total of 115 cars. The Green lot [#permalink]  23 Jun 2018, 08:51
sandy wrote:
Two parking lots can hold a total of 115 cars. The Green lot can hold 35 fewer cars than the Red lot. How many cars can the Red lot hold?

(A) 35
(B) 40
(C) 70
(D) 75
(E) 80

Here

Let R= Red lot
G= Green Lot

We can re-write the statement as: R + G = 115

or R + (R - 35) = 115

or 2R =150
or R=75. Thus red lot hold 75 cars
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Intern
Joined: 05 Jan 2018
Posts: 32
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Kudos [?]: 16 [0], given: 8

Re: Two parking lots can hold a total of 115 cars. The Green lot [#permalink]  25 Jun 2018, 08:10
Ans. D

Red lot can hold 75 cars
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

Re: Two parking lots can hold a total of 115 cars. The Green lot [#permalink]  05 Jul 2018, 01:27
Expert's post
Explanation

Let g = the number of cars that the Green lot can hold. Let r = the number of cars that the Red lot can hold

The first two sentences can be translated into two equations:

$$g + r = 115$$

$$g = r - 35$$

The question asks for r, so substitute (r – 35) for g in the first equation:

$$(r - 35) + r = 115$$

$$2r - 35 = 115$$

$$2r = 150$$

$$r = 75$$

Hence option D is correct!
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Sandy
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Re: Two parking lots can hold a total of 115 cars. The Green lot   [#permalink] 05 Jul 2018, 01:27
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