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Math Expert V
Joined: 02 Sep 2009
Posts: 61283
A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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1
7 00:00

Difficulty:   45% (medium)

Question Stats: 66% (01:45) correct 34% (01:41) wrong based on 98 sessions

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A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total?

A. 100
B. 150
C. 240
D. 300
E. 500

_________________
Intern  B
Joined: 24 Sep 2013
Posts: 23
Location: Saudi Arabia
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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60% of total votes = 60
It means total votes will be 100

Posted from my mobile device
Intern  B
Joined: 13 Mar 2018
Posts: 1
Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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3
Let X be the total number of votes. Then:
0.6X-0.4X=60
0.2X=60
X=300
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16114
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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Hi All,

We're told that a post on a website gains a point if a user chooses to upvote it and loses a point if a user chooses to downvote it and that a particular post has a total of 60 points (with 40% of the votes being downvotes). We're asked for the total number of votes that have been cast for this post. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Let's TEST Answer B first....

The rest were upvotes, so there were 150 - 60 = 90 upvotes
The total score would be 90 - 60 = 30 points
This is NOT a match for what we were told though (the post is supposed to have a score of 60 points). Thus, we clearly need MORE votes. Notice how 30 is exactly HALF of what we need it to be.... maybe we need to DOUBLE the number of votes...

The rest were upvotes, so there were 300 - 120 = 180 upvotes
The total score would be 180 - 120 = 60 points
This is an exact match for what we were told, so this must be the answer.

GMAT assassins aren't born, they're made,
Rich
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Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 10109
Location: Pune, India
Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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Bunuel wrote:
A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total?

A. 100
B. 150
C. 240
D. 300
E. 500

You gain a point for an upvote and lose one for a downvote. So 1 downvote cancels out 1 upvote. If 40% of total votes were downvotes, 60% of total were upvotes. The 40% downvotes would cancel 40% upvotes and you will be left with only 20% upvotes to give you points.

(20/100)*T = 60
T = 300

_________________
Karishma
Veritas Prep GMAT Instructor

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Joined: 19 Oct 2013
Posts: 507
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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Bunuel wrote:
A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total?

A. 100
B. 150
C. 240
D. 300
E. 500

Upvote - downvote = 60

0.6x - 0.4x = 60

0.2x = 60

x = 300

Posted from my mobile device
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9426
Location: United States (CA)
Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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Bunuel wrote:
A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total?

A. 100
B. 150
C. 240
D. 300
E. 500

Let u = the number of upvotes and d = the number of downvotes. We can create the equations:

u - d = 60

and

d = 0.4(u + d)

Simplifying the second equation, we have:

d = 0.4u + 0.4d

0.6d = 0.4u

6d = 4u

1.5d = u

Now we can substitute 1.5d for u into the first equation and obtain:

1.5d - d = 60

0.5d = 60

d = 120

Since d = 120, u = 1.5 x 120 = 180. Therefore, a total of 180 + 120 = 300 votes have been cast.

Alternate Solution:

We can test each answer choice:

If 100 votes were cast and 40% were downvotes, then there are 100*(0.4) = 40 downvotes and 100 - 40 = 60 upvotes. In this case, the post would have 60 - 40 = 20 total points. We can eliminate answer choice A.

If 150 votes were cast and 40% were downvotes, then there are 150*(0.4) = 60 downvotes and 150 - 60 = 90 upvotes. In this case, the post would have 90 - 60 = 30 total points. We can eliminate answer choice B.

If 240 votes were cast and 40% were downvotes, then there are 240*(0.4) = 96 downvotes and 240 - 96 = 144 upvotes. In this case, the post would have 144 - 96 = 48 total points. We can eliminate answer choice C.

If 300 votes were cast and 40% were downvotes, then there are 300*(0.4) = 120 downvotes and 300 - 120 = 180 upvotes. In this case, the post would have 180 - 120 = 60 total points, as required. The answer is D.

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Re: A post on a website gains a point if a user choose to upvote it and lo  [#permalink]

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_________________ Re: A post on a website gains a point if a user choose to upvote it and lo   [#permalink] 24 Dec 2019, 19:37
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