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# On a test, 12 contests will be scored by awarding 6 points for each co

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
On a test, 12 contests will be scored by awarding 6 points for each co  [#permalink]

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26 Mar 2019, 23:00
00:00

Difficulty:

35% (medium)

Question Stats:

75% (01:47) correct 25% (01:52) wrong based on 16 sessions

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On a test, 12 contests will be scored by awarding 6 points for each correct response, 0 points for each incorrect response, and 1.5 points for each problem left unanswered. After looking over the 25 problems, Sarah has decided to attempt the first 22 and leave the last 3 unanswered. How many of the first 22 problems must she solve correctly in order to score at least 100 points?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17

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Intern
Joined: 27 Sep 2018
Posts: 37
Re: On a test, 12 contests will be scored by awarding 6 points for each co  [#permalink]

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26 Mar 2019, 23:21
Let x be problems solved correctly
6x+1.5×3>=100

Solving for x we get x=16

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Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: On a test, 12 contests will be scored by awarding 6 points for each co  [#permalink]

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27 Mar 2019, 01:02
Bunuel wrote:
On a test, 12 contests will be scored by awarding 6 points for each correct response, 0 points for each incorrect response, and 1.5 points for each problem left unanswered. After looking over the 25 problems, Sarah has decided to attempt the first 22 and leave the last 3 unanswered. How many of the first 22 problems must she solve correctly in order to score at least 100 points?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17

he gets 1.5*3 = 4.5 marks; left 100-4.5; 95.5
question to score >=100 ; 95.5/6 ; ~ 16
IMO D
Re: On a test, 12 contests will be scored by awarding 6 points for each co   [#permalink] 27 Mar 2019, 01:02
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