Question

The ratio of the populations of town A and B is 6:5, while the ratio of the populations of town B and C is 3:4. If the total population of the three towns is 53000, find the population of each town.

Answer 1

The population of town A = 18,000

The population of town B = 15,000

The population of town C = 20,000

Explanation:

Given;

A:B = 6:5

B:C = 3:4

total population = 53,000

A + B + C = 53,000

`(A)/(B) = (6)/(5) \\\\A = (6B)/(5) \\\\\Also;\\\\(B)/(C) = (3)/(4) \\\\C = (4B)/(3) \\\\then;\\\\(6B)/(5) +B+ (4B)/(3) = 53,000\\\\multiply \ through \ by \`

Now solve for A and C;

`A = (6 * 15,000)/(5) = 18,000\\\\C = (4 * 15,000)/(3) = 20,000`