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An instructor scored a students test of 50 questions by

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CEO
Joined: 21 Jan 2007
Posts: 2581
Location: New York City
An instructor scored a students test of 50 questions by  [#permalink]

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29 May 2007, 02:36
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:12) correct 0% (00:00) wrong based on 19 sessions

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An instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly?
(A) 19
(B) 38
(C) 41
(D) 44
(E) 46

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SVP
Joined: 01 May 2006
Posts: 1768

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29 May 2007, 02:45
1
(E) for me

Let x be the number of correct answer.

So, we have:
50-x : the number of wrong answer.

Thus, in equation:
x - 2*(50-x) = 38
<=> 3*x = 138
<=> x = 46
Manager
Joined: 18 Apr 2007
Posts: 117

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29 May 2007, 05:56

C+I=50

C: # correct
I: # incorrect

From the stem we can put together the following equation:

C-2I=38

Combining the two equations we can solve for one of the variables:

C=50-I, therefore,

50-I-2I=38
-3I=-12
I=4

Plug this back into the original equation (C+I=50) and you get C=46.

Manager
Joined: 04 May 2007
Posts: 110

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29 May 2007, 21:18
i used same method of bluebird but fig's = more concise
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 4759
Location: Singapore

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30 May 2007, 01:14
Correct = c
Wrong = w = 50-c

So 38 = c-2d
38 = c-2(50-c)
3c-100 = 38
c = 46
Intern
Joined: 30 May 2007
Posts: 3

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30 May 2007, 03:00

This can be solved by backsolving also.
For example,

Take C) 41 - 2 * 9 = 23 38 (Subtracting two times incorrect responses from correct responses does not give 38)

Now Take E) 46 - 2 * 4 = 38!

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.

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Re: An instructor scored a students test of 50 questions by  [#permalink]

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16 Feb 2019, 11:51
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Re: An instructor scored a students test of 50 questions by   [#permalink] 16 Feb 2019, 11:51
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