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

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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
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Question Stats:

65% (00:36) correct 34% (00:30) wrong based on 35 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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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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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
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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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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Re: Two parking lots can hold a total of 115 cars. The Green lot [#permalink]  06 Jul 2019, 17:13
Expert's post
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

We can let n = the number of cars the Red lot can hold and create the equation:

n + n - 35 = 115

2n = 150

n = 75

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Re: Two parking lots can hold a total of 115 cars. The Green lot   [#permalink] 06 Jul 2019, 17:13
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