Answer:
Population of Town A = 19,575
Population of Town B = 52,200
Population of Town C = 20,880
Explanation:
The ratio of..
A : B = 3 : 8
B : C = 5 : 2
Both A : B and B : C have B in their ratios. What we can do is make B the same in both ratios and then create a ratio between all three towns.
A : B = (3 : 8) x 5 = 15 : 40
B : C = (5 : 2) x 8 = 40 : 16
A : B : C
15 : 40 : 16
Now, to find the population of each town we can write the following equation using the numbers from our ratio between all three towns and set it to the given population.
15x + 40x + 16x = 92,655
Solve for x.
71x = 92,655
x = 1,305
Finally, we can use the value of x to find the population of each town.
Population of Town A = 15x
Population of Town A = 15(1,305)
Population of Town A = 19,575
Population of Town B = 40x
Population of Town B = 40(1,305)
Population of Town B = 52,200
Population of Town C = 16x
Population of Town C = 16(1,305)
Population of Town C = 20,880
~Hope this helps!~