Of the 465 sophomores at Eastside High School, exactly 1/3 are taking French II or Chemistry I or both. There are 40 sophomores taking French II but not Chemistry I, and 60 sophomores taking Chemistry I but not French II. How many sophomores are taking both French II and Chemistry I ?

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Question:

Of the 465 sophomores at Eastside High School, exactly 1/3 are taking French II or Chemistry I or both. There are 40 sophomores taking French II but not Chemistry I, and 60 sophomores taking Chemistry I but not French II. How many sophomores are taking both French II and Chemistry I ?

Answers

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Answer:55Step-by-step explanation:First find the number of sophomores taking French II, Chemistry  I or both:[tex]\frac{1}{3} *465\\=155[/tex]Of the 155 sophomores, 40 are taking only French II and 60 are taking only Chemistry I:[tex]155-40-60=55[/tex]There are 55 sophomores taking French II and Chemistry I.

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