Problema Solution

Suppose that due to an unknown serious environmental changes, zoologists have detected a gender imbalance in the population of trumpeter swans. Instead of a 50-50 gender balance at birth, they find that approximately 110 females are born for every 100 males. Assuming that trumpeter swans tend to mate for life and that there are approximately 800,000 in the population, calculate the female surplus of trumpeter swans that would exist as a result of this imbalance.

Answer provided by our tutors

let


m = the number of male swans in the 800,000 population

f = the number of female swans in the 800,000 population


f + m = 800000


110 : 100 = f : m


100f = 110m


10f = 11m


by solving the system of equations


f + m = 800000

10f = 11m


we find


f = 419,048


m = 390,952


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f - m = 419048 - 390952 = 28096


the female surplus of trumpeter swans would be 28096 swans.