Respuesta :
Answer:
a) [tex]\frac{28}{349}[/tex] of the prize winners were women.
b) [tex]\frac{321}{349}[/tex] of the prize winners were men.
Step-by-step explanation:
Given:
Prize awarded to women = 56
Prize awarded to men = 642
we need to find;
a. fraction of the prize winners were women
b. fraction were men
Solution:
First we will find the Total prize awarded.
Total Prize awarded is equal to sum of Prize awarded to women and Prize awarded to men.
framing in equation form we get;
Total Prize awarded = [tex]56+642 = 698[/tex]
Now we need to find the fraction of prize winners were women.
to find the fraction of prize winners were women we will divided Prize awarded to women from Total Prize awarded we get;
fraction of the prize winners were women = [tex]\frac{56}{698} = \frac{2\times28}{2\times 349}=\frac{28}{349}[/tex]
a) Hence [tex]\frac{28}{349}[/tex] of the prize winners were women.
Now we can say that;
to find the fraction of prize winners were men we will divided Prize awarded to men from Total Prize awarded we get;
fraction of the prize winners were men = [tex]\frac{642}{698}= \frac{2\times321}{2\times 349} = \frac{321}{349}[/tex]
b) Hence [tex]\frac{321}{349}[/tex] of the prize winners were men.
