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After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 01:46
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Competition Mode Question After a certain test, Amy's preliminary score was onetwelfth of the sum of the preliminary scores of Ben and Cameron. After a review, the score of each of them increased by 6 points. If the final scores of Cameron, Ben, and Amy were in the ratio 11:10:3, by how many points was Cameron's final score higher than Amy's final score? A. 24 B. 26 C. 32 D. 35 E. 36 Are You Up For the Challenge: 700 Level Questions
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 02:12
Quote: After a certain test, Amy's preliminary score was onetwelfth of the sum of the preliminary scores of Ben and Cameron. After a review, the score of each of them increased by 6 points. If the final scores of Cameron, Ben, and Amy were in the ratio 11:10:3, by how many points was Cameron's final score higher than Amy's final score?
A. 24 B. 26 C. 32 D. 35 E. 36
A = (1/12)*(B+C)(C+6):(B+6):(A+6): 11:10:3 i.e. if C+6 = 11a i.e. C = 11a6then i.e. B+6 = 10a i.e. B = 10a6 and A+6 = 3a i.e. A = 3a6 (3a6) = (1/12)*(10a6+11a6) i.w. 36a  72 = 21a  12 i.e. 15a = 60 i.e. a = 4 Amount by which C is greater than A = CA (required) = (11a6)  (3a6) = 8a = 32Answer: Option C
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 02:13
Let Amy, Ben and Cameron initial scores are A, B and C Therefore 12A=B+C Now initial score of A, B and C also are 3x6, 10x6 and 11x6 resp Now 12(3x6)= 10x6 +11x6 x=4 Difference between Cameron and Amy final score =8x =32 Option C is the answer
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 02:24
After a certain test, Amy's preliminary score was onetwelfth of the sum of the preliminary scores of Ben and Cameron. After a review, the score of each of them increased by 6 points. If the final scores of Cameron, Ben, and Amy were in the ratio 11:10:3, by how many points was Cameron's final score higher than Amy's final score? Let the prelim score be A, B and C, and final score be 3x, 10x, and 11x respectively. So, A=\(\frac{B+C}{12}....B+C=12A\).... Now A+6 = \(\frac{3}{11+10+3}(A+6+B+6+C+6)=\frac{1}{8}(A+B+C+18)=\frac{1}{8}(A+12A+18)\) .. \(8A+48=13A+18........5A=30.....A=6\) Thus final score of \(A=6+6=12=3x....x=4\) Difference in final score of Cameron and Amy = \(11x3x=8x=8*4=32\) C
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 03:06
Let preliminary scores of Amy, Ben and Cameron be a, b, and c, respectively.
Amy's preliminary score is onetwelfth of the sum of the preliminary scores of Ben and Cameron. > a = (b+c)/12 …(1)
After each score was increased by 6, final scores of Amy, Ben and Cameron become in the ratio of 3 : 10 : 11. So, we can write: 3k = a+6 …(2) 10k = b+6 …(3) 11k = c+6 …(4)
7*(2)=(3)+(4) 21k = 10k+11k 7a+42=(b+c)+12 30=(b+c)7a
Substituting a with Eq. (1), 30=(b+c)7(b+c)/12 30=5(b+c)/12 (b+c)=72 > So, a =(b+c)/12 =6
Accordingly, (2)… a+6= 6+6= 12= 3k and thus, k=4. (4)… 11(4) = c+6 > c+6=44.
Cameron's final score exceeds Amy's score by = (c+6)(a+6) = 4412 = 32
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 03:38
Quote: After a certain test, Amy's preliminary score was onetwelfth of the sum of the preliminary scores of Ben and Cameron. After a review, the score of each of them increased by 6 points. If the final scores of Cameron, Ben, and Amy were in the ratio 11:10:3, by how many points was Cameron's final score higher than Amy's final score?
A. 24 B. 26 C. 32 D. 35 E. 36 a=b+c/12 11x:10x:3x:c+6:b+6:a+6 c+6a+6=11x3x=8x answer must be multiple of 8 if 8x=24, x=3; c+6=11x, c+6=33, c=336=27 b+6=10x, b+6=30, b=24 a=b+c/12, a=27+24/12=notinteger, invalid if 8x=32, x=4; c+6=11x, c+6=44, c=446=38 b+6=10x, b+6=40, b=34 a=b+c/12, a=34+38/12=integer, valid Ans (C)



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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 03:57
it is given that b+c＝20a thus b1+c112=20(a16)
we have c1:b1:a1=11x:10x:3x
substituting it 11x+10x12=60x120 39x=108 x=3
c1=33 a1=9
Answer 24 (a)



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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 08:44
initial scores be A, B and C as given \(A = \frac{B+C}{12}\) after review: \(A+6: B+6:C+6 = 3K:10K:11k\) OR A:B:C = 3K6:10K6:11K6 put that back in initial equation \(\frac{21k12}{12 }= 3k6\) solve for k = 4 new score Amy = 3k = 12 Cameron = 11k = 44 difference 4412 = 32 C
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 18:27
\(12*A = B+ C \) \((C+ 6): (B+6): (A+ 6) = 11: 10 : 3\)
—> \(C+ 6= 11y\) —> \(B+6= 10y \) ——————— Adding them together: —>\(B+C + 12= 21y\) \(B+ C =12A\)
—> \(12A = 21y —12\) \(A= \frac{21y}{12} —\frac{12}{12}= \frac{7y}{4} —1\)
Well, A must be integer —> In order A to be integer, y should be equal to 4
—> \(A= \frac{7*4}{4} —1 = 6\) —> \(C= 11*4 —6 = 38\) ————————————— \((C+6) —(A+6) = 44–12 = 32\)
Answer ( C)
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 22:50
After a certain test, Amy's preliminary score was onetwelfth of the sum of the preliminary scores of Ben and Cameron. After a review, the score of each of them increased by 6 points. If the final scores of Cameron, Ben, and Amy were in the ratio 11:10:3, by how many points was Cameron's final score higher than Amy's final score? A. 24 B. 26 C. 32 D. 35 E. 36 C + 6  (A + 6) = C  A = ? \(A = \frac{B + C}{12}\) > 12A = B + C Eqn.. 1 So, C  A = 11B  A = ? C + 6: B + 6: A + 6 = 11:10:3 \(\frac{C + 6}{B + 6} = \frac{11}{10}\) > 10C  11B = 6  Eqn. 2 \(\frac{B + 6}{A + 6} = \frac{10}{3}\) > 3B  10A = 42  Eqn. 3 Let's try option C. C  A = 11B  A = 32 OR 33B  3A = 96  Eqn. 4 Adding Equations 3 and 4 A = 6 Thus C = 38 and B = 34. Hence C  A = 32 PS: Taking other options also gives us answer but decimal values of A, B and C  a valid result. So, we have to consider odd one out approach to get out answer. Question should mention that scores are positive integers.Answer C.
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Re: After a certain test, Amy's preliminary score was onetwelfth of the
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07 Apr 2020, 22:55
Ans: C
A=(1/12)(B+C)
C+6:B+6:A+6=11:10:3=K
3K6=(1/12)(10K6+11K6) K=4
C+6=44 A+6=12
So, (4412)=32



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After a certain test, Amy's preliminary score was onetwelfth of the
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10 Apr 2020, 02:10
Bunuel wrote: Competition Mode Question After a certain test, Amy's preliminary score was onetwelfth of the sum of the preliminary scores of Ben and Cameron. After a review, the score of each of them increased by 6 points. If the final scores of Cameron, Ben, and Amy were in the ratio 11:10:3, by how many points was Cameron's final score higher than Amy's final score? A. 24 B. 26 C. 32 D. 35 E. 36 Are You Up For the Challenge: 700 Level QuestionsWe can let the final scores of Amy, Ben, and Cameron (i.e., after each receives the 6point increase) be 3x, 10x, and 11x, respectively, and create the equation: 3x  6 = 1/12 * (10x  6 + 11x  6) 12(3x  6) = 21x  12 36x  72 = 21x  12 15x = 60 x = 4 Since Cameron's final score is 11x  3x = 8x higher than Amy's final score, Cameron scores 8(4) = 32 points higher than Amy. Answer: C
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After a certain test, Amy's preliminary score was onetwelfth of the
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