a) The fraction of women is
b) The fraction of men is
Step-by-step explanation:
a)
In this part of the problem, we are asked to find what fraction of the prize winners are women.
We have:
(number of prizes awarded to women)
(number of prizes awarded to men)
First of all, we calculate the total number of prizes awarded:
Now we find the fraction of prize winners who were women, which is given by:
And we can simplify by dividing both numerators and denominators by 2,
b)
The total number of prizes awarded is
The number of prizes assigned to men is
Therefore, the fraction of prize winners who were men is
where we simplified the fraction by dividing both the numerator and the denominator by 2.
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