Let's analyze the population census data for country Y in 1800 and solve the given problems in a detailed, step-by-step manner.
The population data provided is as follows:
- Age 0-17: 2,500,000
- Age 18-49: 3,800,000
- Age 50-60: 4,500,000
- Age 60 and above: 700,002
(a) Determine the total population of the country:
To find the total population, we need to sum up the populations of all age groups:
[tex]\[ \text{Total Population} = \text{Population (0-17)} + \text{Population (18-49)} + \text{Population (50-60)} + \text{Population (60 and above)} \][/tex]
Substituting in the given numbers:
[tex]\[ \text{Total Population} = 2,500,000 + 3,800,000 + 4,500,000 + 700,002 \][/tex]
Adding these values:
[tex]\[ \text{Total Population} = 11,500,002 \][/tex]
So, the total population of the country Y in 1800 is 11,500,002.
(b) Calculate:
(i) The ratio of population under 18 to population over 60 years:
To find the ratio, we need to divide the population under 18 by the population over 60 years:
[tex]\[ \text{Ratio} = \frac{\text{Population(0-17)}}{\text{Population(60 and above)}} \][/tex]
Substituting in the given numbers:
[tex]\[ \text{Ratio} = \frac{2,500,000}{700,002} \][/tex]
Performing the division gives us:
[tex]\[ \text{Ratio} \approx 3.571418367376093 \][/tex]
So, the ratio of the population under 18 to the population over 60 years is approximately 3.571.
In summary:
(a) The total population of the country is 11,500,002.
(b) The ratio of population under 18 to population over 60 years is approximately 3.571.
