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by vineetbatra » Thu Jan 14, 2010 4:48 pm
In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.

(2) A total of 240 of the students study Spanish.

I solved this question using the m atrix table method, but I could not get the correct answer, can someone

F NF Total
S ? ? 240
NS ? ? 60
Total 300 100 300
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by mehravikas » Thu Jan 14, 2010 6:20 pm
Is the answer B?
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by akalpita » Thu Jan 14, 2010 7:08 pm
In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.

(2) A total of 240 of the students study Spanish.

Solution:

French = F
Spanish = S
Both = B

F + S + B = 300

S = 100

so, F + B = 200
B = ?

1. 60 do not study Spanish i.e., stydy French
F = 60
Thus, B = 200 - 60 = 140

2. Total of 240 study Spanish i.e., S + B = 240
And S = 100
So, B = 240 - 100 = 140

So, D. Each statement alone is sufficient to answer the question.
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by sreak1089 » Fri Jan 15, 2010 1:06 am
Information Given:

300 students study French or Spanish or both. None study Neither of the two.
100 students do not study French, means, they study only Spanish.

We need to find how many study both.

We know that 300 = Only French + Only Spanish + Both
=> 300 = Only French + 100 + Both
=> 200 = Only French + Both. --> (A)

1) 60 do not study Spanish. => 60 Study Only French. Subsitituting in (A), we have
Both = 200 - 60 = 140.

Thus, 1) is SUFFICIENT.

2) A total of 240 of the students study spanish.

=> 240 = Only Spanish + Both
=> 240 = 100 + Both
=> Both = 140

Thus, 2) is SUFFICIENT.

Hence, D.
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