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Of 120 hotel rooms rented one night, some were suits rented for $115

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Joined: 06 Apr 2016
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GPA: 3.8
WE: Sales (Other)
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Of 120 hotel rooms rented one night, some were suits rented for $115  [#permalink]

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New post 17 Apr 2017, 08:28
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Question Stats:

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Of 120 hotel rooms rented one night, some were suits rented for $115 each and the rest were double rooms rented for $85 each. If the total revenue from the room rentals ffor this night was $10890, how many suits were rented?

A) 23
B) 35
C) 54
D) 94
E) 99

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Concentration: General Management, Finance
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Re: Of 120 hotel rooms rented one night, some were suits rented for $115  [#permalink]

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New post 17 Apr 2017, 09:20
4
Let x be suites and y be double rooms

X+y=120
Y=120-x
115x+85y=10890
115x+85(120-x)=10890
30x=690
X=23

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Re: Of 120 hotel rooms rented one night, some were suits rented for $115  [#permalink]

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New post 17 Apr 2017, 09:20
Vanmotan wrote:
Of 120 hotel rooms rented one night, some were suits rented for $115 each and the rest were double rooms rented for $85 each. If the total revenue from the room rentals ffor this night was $10890, how many suits were rented?

A) 23
B) 35
C) 54
D) 94
E) 99



Let the number of suits rented = x
Then number of double rooms rented = 120-x

Revenue from suits = 115*x
Revenue from double rooms = 85*(120-x)
Total revenue = 115x + 85(120-x) = 10890
=> 115x + 10200 - 85x = 10890
=> 30x = 690
=> x = 23

Thus, 23 suits were rented.
A) is the answer.


If you like my post please reward with kudos. :-D
Current Student
User avatar
S
Status: No matter how bad it is or how bad it gets: I am going to make it.
Joined: 06 Apr 2016
Posts: 32
Location: Ukraine
Concentration: Finance, Entrepreneurship
GMAT 1: 670 Q49 V32
GMAT 2: 730 Q50 V38
GPA: 3.8
WE: Sales (Other)
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Re: Of 120 hotel rooms rented one night, some were suits rented for $115  [#permalink]

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New post 17 Apr 2017, 09:46
tiklimumita wrote:
Vanmotan wrote:
Of 120 hotel rooms rented one night, some were suits rented for $115 each and the rest were double rooms rented for $85 each. If the total revenue from the room rentals ffor this night was $10890, how many suits were rented?

A) 23
B) 35
C) 54
D) 94
E) 99



Let the number of suits rented = x
Then number of double rooms rented = 120-x

Revenue from suits = 115*x
Revenue from double rooms = 85*(120-x)
Total revenue = 115x + 85(120-x) = 10890
=> 115x + 10200 - 85x = 10890
=> 30x = 690
=> x = 23

Thus, 23 suits were rented.
A) is the answer.


If you like my post please reward with kudos. :-D


I used the similar approach, but divided everything by 5 at the beginning:

1) S+D=120

2) 23*S+17*D=2178

Substitute D for S:
23*S+2040-17*S=2178

6*S=138

S=23
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Re: Of 120 hotel rooms rented one night, some were suits rented for $115  [#permalink]

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New post 27 Aug 2018, 02:02
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Thanks to another GMAT 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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Re: Of 120 hotel rooms rented one night, some were suits rented for $115 &nbs [#permalink] 27 Aug 2018, 02:02
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