Bunuel
In the town of Xionia, elections were held every 5 years, between the year 2000 to the year 2020. During the 5 elections held in this period, the number of female voters increased while the number of male voters decreased from 3300 in the year 2000.
In the given expressions, F and M represent the percentage change in the number of female and male voters, respectively, over the 5 elections, and R represents the ratio of female to male voters in the year 2000. The percentage change in voters is calculated as \(\frac{\text{number of new voters – number of old voters}}{\text{number of old voters}}* 100\).
Select the expression that represents the
Number of female voters in the year 2000, and select the expression that represents the
Ratio of female to male voters in the year 2020. Make only two selections, one in each column.
Male voters in Year 2000= 3300 , it decreased
Female voters = unknown , but it increased
F = % change in Female voters
M = % change in Male voters
R = Female /Male voter ratio in 2000
Hence Female voters in Year 2000 = 3300R
M = (1 - new male voters in year 2020/3300 )*100
new male voters in Year 2020 = (1 - M/100)*3300
F = (new female voters in year 2020/3300R -1)*100
new female voters in Year 2020 = (1+ F/100)*3300R
Female to Male voters in 2020 = (1 +F/100)*3300R/ [(1-M/100)*3300]
= (100+F)*R /(100-M)