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22 Jan 2015, 07:35
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
68% (03:10) correct
32%
(03:16)
wrong
based on 736
sessions
History
Date
Time
Result
Not Attempted Yet
At a certain school of 200 students, the students can study French, Spanish, both or neither. Just as many study both as study neither. One quarter of those who study Spanish also study French. The total number who study French is 10 fewer than those who study Spanish only. How many students study French only?
A. 30
B. 50
C. 70
D. 90
E. 120
A. 30
B. 50
C. 70
D. 90
E. 120
23 Jan 2015, 00:14
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Attachment:
2dmat.png [ 5.21 KiB | Viewed 32934 times ]
Let total Spanish = x
Students without French without Spanish \(= \frac{x}{4}\)
Students with both French & Spanish \(= \frac{x}{4}\)
Students with only French \(= x - \frac{x}{4} = \frac{3x}{4}\)
Total French students \(= \frac{3x}{4} - 10\)
Only French students \(= \frac{3x}{4} - 10 - \frac{x}{4} = \frac{2x}{4} - 10\)
Total \(= \frac{3x}{4} - 10 + x = 200\)
x = 120
Only French students \(= \frac{x}{2} - 10 = 60 - 10 = 50\)
22 Jan 2015, 23:32
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Answer = B = 50
fre.png [ 7.32 KiB | Viewed 33386 times ]
Attachment:
fre.png [ 7.32 KiB | Viewed 33386 times ]
