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15 Jul 2020, 02:31
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E
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Difficulty:
15%
(low)
Question Stats:
81% (01:28) correct
19%
(01:56)
wrong
based on 89
sessions
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Not Attempted Yet
The mean SAT score for a group of M students in Montana is 1400, while the mean SAT score for a group of V students in Virginia is 1650. When the scores of both groups are combined, the mean is 1600. What is the value of V/M?
A. 1/4
B. 112
C. 1
D. 2
E. 4
A. 1/4
B. 112
C. 1
D. 2
E. 4
15 Jul 2020, 02:35
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Bunuel
As per the question 1400M + 1650V = 1600V + 1600M
=> 200M = 50V
=> V/M = 4
15 Jul 2020, 02:41
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Average = Sum/#
X = total of M students
Y = total of V students
1400 = \(\frac{X}{M}\) ---> X = 1400M
1650 = \(\frac{Y}{V}\) ---> Y = 1650V
\(\frac{X+Y}{M+V }\)= 1600
\(\frac{1400M+1650V}{M+V}\)= 1600
1400M + 1650V = 1600M +1600V
50V = 200M
\(\frac{V}{M}\) = 200/50
\(\frac{V}{M }\)= 4
Answer E
X = total of M students
Y = total of V students
1400 = \(\frac{X}{M}\) ---> X = 1400M
1650 = \(\frac{Y}{V}\) ---> Y = 1650V
\(\frac{X+Y}{M+V }\)= 1600
\(\frac{1400M+1650V}{M+V}\)= 1600
1400M + 1650V = 1600M +1600V
50V = 200M
\(\frac{V}{M}\) = 200/50
\(\frac{V}{M }\)= 4
Answer E
