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On a test, a student scores +4 points for each correct answer and ­2 p

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On a test, a student scores +4 points for each correct answer and ­2 p [#permalink]

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New post 24 Oct 2017, 22:25
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Difficulty:

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Question Stats:

64% (01:31) correct 36% (01:41) wrong based on 50 sessions

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On a test, a student scores +4 points for each correct answer and ­- 2 points for each incorrect answer. Jack attempted 20 questions and found that his score would have been 44 if he had got two more questions correct. How many questions did Jack get incorrect?

A. 6
B. 8
C. 10
D. 12
E. 14
[Reveal] Spoiler: OA

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Re: On a test, a student scores +4 points for each correct answer and ­2 p [#permalink]

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New post 24 Oct 2017, 22:39
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Option B

Let jack’s desired number of correct question =x and

Incorrect questions = 20-x

Now
4x-2(20-x)= 44
Solving x=14
So original correct question =12
Incorrect question =8




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On a test, a student scores +4 points for each correct answer and ­2 p [#permalink]

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New post 24 Oct 2017, 23:43
Let the number of questions the student gets correct be x
Since the total questions he answers is 20, the number of questions he gets incorrect is 20-x

Since the score the student scores is 44, if the student answered 2 more questions correctly,
The equation formed will be 4(x+2) - 2(20-x-2) = 44
4(x+2) - 2(18-x) = 44
4x + 8 - 36 + 2x = 44
6x = 72
x = 12

Therefore, the student answers 8(20-x) questions incorrectly (Option B)
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Re: On a test, a student scores +4 points for each correct answer and ­2 p [#permalink]

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New post 26 Oct 2017, 02:14
pushpitkc wrote:
Let the number of questions the student gets correct be x.
Since the total questions he answers is 20, the number of questions he gets incorrect is 20-x

Since the score the student scores is 44, the equation formed is 4x - 2(20-x) = 44
4x - 40 + 2x = 44
6x = 84
x = 14

Hence, the student answers 14 questions correctly (Option E)


Question is asking about the Incorrect answer.

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Re: On a test, a student scores +4 points for each correct answer and ­2 p [#permalink]

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New post 26 Oct 2017, 03:04
gps5441 wrote:
pushpitkc wrote:
Let the number of questions the student gets correct be x.
Since the total questions he answers is 20, the number of questions he gets incorrect is 20-x

Since the score the student scores is 44, the equation formed is 4x - 2(20-x) = 44
4x - 40 + 2x = 44
6x = 84
x = 14

Hence, the student answers 14 questions correctly (Option E)


Question is asking about the Incorrect answer.


Apologies. Made the correction!!
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Kudos [?]: 747 [0], given: 20

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Re: On a test, a student scores +4 points for each correct answer and ­2 p [#permalink]

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New post 29 Oct 2017, 06:42
nkmungila wrote:
On a test, a student scores +4 points for each correct answer and ­- 2 points for each incorrect answer. Jack attempted 20 questions and found that his score would have been 44 if he had got two more questions correct. How many questions did Jack get incorrect?

A. 6
B. 8
C. 10
D. 12
E. 14


We can let c = the number of correct questions answered and w = the number of incorrect questions answered. Thus:

c + w = 20

w = 20 - c

and

4(c + 2) - 2(w - 2) = 44

4c + 8 - 2w + 4 = 44

4c - 2w = 32

2c - w = 16

Thus:

2c - (20 - c) = 16

2c - 20 + c = 16

3c = 36

c = 12

Thus, w = 20 - 12 = 8.

Answer: B
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Re: On a test, a student scores +4 points for each correct answer and ­2 p   [#permalink] 29 Oct 2017, 06:42
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