On Tuesday, 14/25 of the souvenirs purchased at the zoo gift shop we're stuffed animals. Of the stuffed animals purchased, 10/21 were bears. What fraction of the souvenirs purchased at the zoo gift shop on Tuesday were stuffed bears?

Respuesta :

The fraction of bears is [tex]\frac{4}{15}[/tex]

SOLUTION:

Given, On Tuesday, [tex]\frac{14}{25}[/tex] of the souvenirs purchased at the zoo gift shop we're stuffed animals.  

Of the stuffed animals purchased, [tex]\frac{10}{21}[/tex] were bears.  

We have to find the fraction of the souvenirs purchased at the zoo gift shop on Tuesday that were stuffed bears.

Now, fraction of stuffed bears = fraction of stuffed animals x fraction of bears  

Fraction of stuffed bears [tex]\Rightarrow \frac{14}{25} \times \frac{10}{21}=\frac{10}{25} \times \frac{14}{21}=\frac{2}{5} \times \frac{2}{3}=\frac{4}{15}[/tex]

Hence, the required fraction is [tex]\frac{4}{15}[/tex]

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