On a class trip to the museum,5/8 of the students saw the dinosaurs and 7/8 of the students saw either the jewelry collection or the dinosaurs. What fraction of the students only saw the jewelry section?

Respuesta :

Answer:

There are ( 2/8) students who saw ONLY jewelry Section.

Step-by-step explanation:

The number of students who saw the dinosaurs = 5/8

n(D)  = 5/8

The number of students who saw either the jewelry collection or the dinosaurs = 7/8

n(D U J )  = 7/8

To Find: n (D' ∩ J)

Now,as we know for any two sets A and B:

n(A U  B) -n(B) =  n(A' ∩ B )

Applying the same property here, we get:

n (D' ∩ J) = n( D U J) - n ( D)

[tex]= (\frac{7}{8})  - (\frac{5}{8} )\\=(\frac{7-5}{8})  = \frac{2}{8}\\ \implies n(D' \cap J) = \frac{2}{8}[/tex]

Hence, there are ( 2/8) students who saw ONLY jewelry Section.