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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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Answer:

55

Step-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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