Mathematics: 200 years ago, as it became more and more evident that the country would sever all ties with England, a large number of people who had moved here decided to return to their former home. This migration was so large, in fact, that by July 4, 1776, it had decreased the American population by 20%, and increased the population of the British Isles by 4%. Assuming that no one who left America went anywhere else, what percent of the British popustion was the American population before the migration?

200 years ago, as it became more and more evident

raedusty3200

20.01.2022

The American population was 20% of the British population.

Step-by-step explanation:

Let us call the american population, the British population before the migration, and the population that migrated from America to Britannia.

Now, the population that migrated was 20% of the american population:

$(1).\: \: x = 0.2A$ ,

and the same population increase the British population by 4%:

$x+B = 1.04B \\\\ (2). \:\:x = 0.04B.$

Combining equation (1) and (2) we get:

0.2A = 0.04B

$A = \dfrac{0.04B}{0.2}$

$\boxed{A = 0.2B}$

Thus, the American population was 20% of the British population.

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