math
posted by Christy
There are a total of 107 foreign language students in a high school where they offer only Spanish, French, and German. 42 take Spanish.
46 take French.
45 take German.
8 take Spanish and French but not German.
8 take Spanish and German but no French.
6 take French and German but not Spanish.
24 students are taking at least two languages.
What is the probability that a student randomly selected from those taking exactly one language takes French in this semester?

Reiny
Best done with a Venn diagram.
overlap three circles called S F and G
place x in the middle for S F and G
fill in the rest of the entries
e.g. the number taking only Spanish = 42  8  8  x
= 26x
similarly:
only German = 45  8  6  x = 31  x
only French = 46  8  6  x = 32  x
we can find x ....
26x +8+8+6+x+32x+31x = 107
2x = 4
x = 2
so those taking only French = 322= 30
prob of stated event = 30/107 
Anonymous
2+2=4

Salma
Let's do 100+90+4. You are thinking now this is impossible but no you can sum this the answer of this you are thinking that is 194 so yes cause just you need to put the one of the hundred place, the nine of the tens place and the four of the ones place

Salma
2756323421=4142

Codack
just sing ou your communities property of multiplication with different thousanda hunts and ones
Respond to this Question
Similar Questions

MATH SETS AND COUNTING
There are a total of 103 foreign language students in a high school where they offer only Spanish, French, and German. You are given the following details for this semester: 44 take Spanish. 44 take French. 42 take German. 7 take Spanish … 
math
There are a total of 152 foreign language students in a high school where they offer only Spanish, French, and German. You are given the following details for this semester: 58 take Spanish. 71 take French. 66 take German. 9 take Spanish … 
math
107 total foreign language students 42 take spanish 46 take french 45 take german 8 take spanish & french but not german 6 take french & german but not spanish 8 take spanish & german but not french 24 students are taking at least … 
Math
There are a total of 103 foreign language students in a high school where they offer Spanish, French, and German. There are 19 students who take at least 2 languages at once. If there are 38 Spanish students, 38 French students, and … 
Math
There are a total of 103 foreign language students in a high school where they offer Spanish, French, and German. There are 19 students who take at least 2 languages at once. If there are 38 Spanish students, 38 French students, and … 
Math  Probabilities
There are a total of 116 foreign language students in a high school where they offer Spanish, French, and German. There are 22 students who take at least 2 languages at once. If there are 47 Spanish students, 45 French students, and … 
Math
At a school with 100 students, 35 take French, 32 take German, and 30 take Spanish. Twenty students take only French, 20 take only German, and 14 take only Spanish. In addition, 7 students are taking both French and German, some of … 
Math
An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 107 students in the school. There are 42 in the Spanish class, 32 in the French class, and … 
Math
There are a total of 103 foreign language students in a high school where they offer Spanish, French, and German. There are 29 students who take at least 2 languages at once. If there are 40 Spanish students, 42 French students, and … 
maths
In a survey of 100 students, the number s studying various languages were found to be: Spanish, 28; German, 30; French, 42; Spanish and German, 8; Spanish and French, 10; German and French, 5; all three languages, 3. (a)How many students …