Question

The population of a town increased by 16 2 3 % in 1990 and 10% in 1991. If the population of the town at the beginning of 1990 was 30,000, what was it at the end of 1991?

Answer 1

38,500

Explanation:

162/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

1/6 of the original population was ...

1/6 × 30,000 = 5,000

So the population at the end of 1990 was

30,000 +5,000 = 35,000.

In 1991, 10% of that number was added, so the population at the end of 1991 was ...

35,000 + 0.10×35,000 = 38,500