Answer:
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.
Solution:
Given that current population of city is 27900.
Also, population of a city has decreased by 38% since it was last measured.
Let assume that population of city when it was last measured = x
Decreased of 38% means x-38% of x . we can write this as,
[tex]=x-\frac{38}{100} \times x[/tex]
[tex]=\frac{100 x-38 x}{100}[/tex]
[tex]=\frac{62 x}{100}=\frac{31 x}{50}[/tex]
So current population is [tex]\frac{31 x}{50}[/tex]
Equating above expression to the given value of current population, we get
[tex]\frac{31 x}{50}=27900[/tex]
[tex]x=\frac{27900 \times 50}{31}[/tex]
x=45000
Hence previous population of city was 45000.
