Question

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the previous population?

Answer 1

To find the previous population of the city, divide the current population, which is 27,900, by 0.62 to account for the 38% decrease, resulting in a previous population of 45,000.

Step-by-step explanation:

If the population of a city has decreased by 38% and the current population is 27,900, we need to calculate what the previous population was. Considering the current population as 62% of the original population (100% - 38% = 62%), we can set up an equation where 0.62 (62% in decimal form) times the original population (which we'll call 'P') equals 27,900. We solve for 'P' as follows:

• 0.62 * P = 27,900
• P = 27,900 / 0.62
• P = 45,000

The previous population of the city was 45,000.

Answer 2

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,

`=x-(38)/(100) * x`

`=(100 x-38 x)/(100)`

`=(62 x)/(100)=(31 x)/(50)`

So current population is
`(31 x)/(50)`

Equating above expression to the given value of current population, we get

`(31 x)/(50)=27900`

`x=(27900 * 50)/(31)`

x=45000

Hence previous population of city was 45000.