There are a total of 128 foreign language students in a high school where they o
ID: 2965605 • Letter: T
Question
There are a total of 128 foreign language students in a high school where they offer Spanish, French, and German. There are
17 students who take French and German,
15 students who take French and Spanish,
14 students who take German and Spanish, and
2 students who take all three languages.
If there are 56 Spanish students, 62 French students, and 54 German students, find:
a) How many students take French only.
b) How many students take French AND German but not Spanish.
c) How many students take French OR German but not Spanish.
Explanation / Answer
a) only French = 62 - (17+15+2) = 28
b) = 17 students take French AND German not spanish
c) = 28 only french + [54 - (15+14+2) only German] + 17 who take other languages not spanish
= 94
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