# math

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?

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1. 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
= 26-x

similarly:
only German = 45 - 8 - 6 - x = 31 - x
only French = 46 - 8 - 6 - x = 32 - x

we can find x ....
26-x +8+8+6+x+32-x+31-x = 107
-2x = -4
x = 2

so those taking only French = 32-2= 30

prob of stated event = 30/107

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posted by Reiny
2. 2+2=4

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3. 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

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posted by Salma
4. 27563-23421=4142

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posted by Salma
5. just sing ou your communities property of multiplication with different thousanda hunts and ones

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posted by Codack

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