In 1970 the population of a town A and town B were same from 1970 to 1980,however the population of town A increased by 60% while the population of town B decreased by 60%.In 1980,the population of town B was what percent of the population of town A?
A = 1.6 p
B = .4 p
B/A = .4/1.6 = .25
25%
To find the percentage of the population of town B in 1980 compared to town A, we first need to calculate the population changes in both towns.
1. Let's assume that the initial population in 1970 for both towns A and B is "x".
2. In 1980, the population of town A increased by 60%.
So, the population of town A in 1980 = x + (60/100)*x = x*(1 + 0.60) = x*(1.60).
3. In 1980, the population of town B decreased by 60%.
So, the population of town B in 1980 = x - (60/100)*x = x*(1 - 0.60) = x*(0.40).
4. Now, we can find the percentage of the population of town B in 1980 compared to town A by dividing the population of B by the population of A and multiplying by 100.
Percentage = (Population of B in 1980 / Population of A in 1980) * 100
= (x*(0.40) / x*(1.60)) * 100
= (0.40 / 1.60) * 100
= (1/4) * 100
= 25%.
Therefore, in 1980, the population of town B was 25% of the population of town A.
To find out what percent the population of town B was of the population of town A in 1980, we need to calculate the population of each town in 1980.
Let's say the initial population of both towns in 1970 was P.
In town A, the population increased by 60% over the decade:
Population of town A in 1980 = P + (60% of P) = P + 0.6P = 1.6P
In town B, the population decreased by 60% over the decade:
Population of town B in 1980 = P - (60% of P) = P - 0.6P = 0.4P
To find the percentage of town B's population compared to town A's population in 1980, we can divide the population of town B by the population of town A and then multiply by 100.
Population of town B as a percentage of town A = (Population of town B / Population of town A) * 100
= (0.4P / 1.6P) * 100
= 0.4/1.6 * 100
= 0.25 * 100
= 25%
Therefore, the population of town B in 1980 was 25% of the population of town A.