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From the above data calculate: (a) X, Y, Z (b) The total population of the town (c) the difference between the population of male and female aged 14 and below (d) The percentage of the population aged 14 and below (e) the dependency ratio in the town.

Mathematics

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Answers

5 parts
a

X=5000,Y=3235,Z=2750X = 5000, Y = 3235, Z = 2750

b
25000
c
1750
d

36%36\%

e
150

Step-by-step solution

12 steps

Part a· 3 steps

Calculate X, Y, Z

  1. Calculate X.

    X represents the total population for the age group 11-14.

    X=Male (11-14)+Female (11-14)X = \text{Male (11-14)} + \text{Female (11-14)} X=2275+2725X = 2275 + 2725 X=5000X = 5000
  2. Calculate Y.

    Y represents the male population for the age group 36-64. The total for this group is 7500, and the female population is 4265.

    Y=Total (36-64)−Female (36-64)Y = \text{Total (36-64)} - \text{Female (36-64)} Y=7500−4265Y = 7500 - 4265 Y=3235Y = 3235
  3. Calculate Z.

    Z represents the female population for the age group 65 and above. The male population is 3250, and the total for this group is 6000.

    Z=Total (65 and above)−Male (65 and above)Z = \text{Total (65 and above)} - \text{Male (65 and above)} Z=6000−3250Z = 6000 - 3250 Z=2750Z = 2750

    The values are: X=5000,Y=3235,Z=2750\boxed{X = 5000, Y = 3235, Z = 2750}

Part b25000

The total population of the town

  1. Sum the total population for all age groups.

    The total populations for each age group are:
    10 and below: 4000
    11-14: X = 5000
    15-35: 2500
    36-64: 7500
    65 and above: 6000

    Total Population=4000+5000+2500+7500+6000\text{Total Population} = 4000 + 5000 + 2500 + 7500 + 6000 Total Population=25000\text{Total Population} = 25000

    The total population of the town is 25000\boxed{25000}.

Part c1750

The difference between the population of male and female aged 14 and below

  1. Calculate the total male population aged 14 and below.

    Male (14 and below)=Male (10 and below)+Male (11-14)\text{Male (14 and below)} = \text{Male (10 and below)} + \text{Male (11-14)} Male (14 and below)=1350+2275\text{Male (14 and below)} = 1350 + 2275 Male (14 and below)=3625\text{Male (14 and below)} = 3625
  2. Calculate the total female population aged 14 and below.

    Female (14 and below)=Female (10 and below)+Female (11-14)\text{Female (14 and below)} = \text{Female (10 and below)} + \text{Female (11-14)} Female (14 and below)=2650+2725\text{Female (14 and below)} = 2650 + 2725 Female (14 and below)=5375\text{Female (14 and below)} = 5375
  3. Calculate the difference.

    Difference=∣Male (14 and below)−Female (14 and below)∣\text{Difference} = |\text{Male (14 and below)} - \text{Female (14 and below)}| Difference=∣3625−5375∣\text{Difference} = |3625 - 5375| Difference=∣−1750∣\text{Difference} = |-1750| Difference=1750\text{Difference} = 1750

    The difference is 1750\boxed{1750}.

Part d

36%36\%

The percentage of the population aged 14 and below

  1. Calculate the total population aged 14 and below.

    Population (14 and below)=Total (10 and below)+Total (11-14)\text{Population (14 and below)} = \text{Total (10 and below)} + \text{Total (11-14)} Population (14 and below)=4000+5000\text{Population (14 and below)} = 4000 + 5000 Population (14 and below)=9000\text{Population (14 and below)} = 9000
  2. Calculate the percentage.

    Percentage=Population (14 and below)Total Population×100%\text{Percentage} = \frac{\text{Population (14 and below)}}{\text{Total Population}} \times 100\% Percentage=900025000×100%\text{Percentage} = \frac{9000}{25000} \times 100\% Percentage=925×100%\text{Percentage} = \frac{9}{25} \times 100\% Percentage=0.36×100%\text{Percentage} = 0.36 \times 100\% Percentage=36%\text{Percentage} = 36\%

    The percentage of the population aged 14 and below is 36%\boxed{36\%}.

Part e150

The dependency ratio in the town

  1. Identify the dependent population.

    The dependent population includes those aged 0-14 and 65 and above.

    Youth Dependent Population (0-14)=Population (14 and below)=9000\text{Youth Dependent Population (0-14)} = \text{Population (14 and below)} = 9000 Elderly Dependent Population (65+)=Total (65 and above)=6000\text{Elderly Dependent Population (65+)} = \text{Total (65 and above)} = 6000 Total Dependent Population=9000+6000=15000\text{Total Dependent Population} = 9000 + 6000 = 15000
  2. Identify the working-age population.

    The working-age population includes those aged 15-64.

    Working Age Population (15-64)=Total (15-35)+Total (36-64)\text{Working Age Population (15-64)} = \text{Total (15-35)} + \text{Total (36-64)} Working Age Population (15-64)=2500+7500\text{Working Age Population (15-64)} = 2500 + 7500 Working Age Population (15-64)=10000\text{Working Age Population (15-64)} = 10000
  3. Calculate the dependency ratio.

    Dependency Ratio=Total Dependent PopulationWorking Age Population×100\text{Dependency Ratio} = \frac{\text{Total Dependent Population}}{\text{Working Age Population}} \times 100 Dependency Ratio=1500010000×100\text{Dependency Ratio} = \frac{15000}{10000} \times 100 Dependency Ratio=1.5×100\text{Dependency Ratio} = 1.5 \times 100 Dependency Ratio=150\text{Dependency Ratio} = 150

    The dependency ratio in the town is 150\boxed{150}.

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