To determine the percentage distribution for different styles of houses in a town with a total of 25,000 houses, we can follow these steps:
1. Identify the total number of houses: The town has a total of 25,000 houses.
2. Determine the number of houses for each style:
- Cape: 6,250 houses
- Garrison: 10,000 houses
- Split: 8,750 houses
3. Calculate the percentage for each type of house:
- Cape Percentage:
[tex]\[
\text{Cape percentage} = \left(\frac{\text{Number of Cape houses}}{\text{Total number of houses}}\right) \times 100
\][/tex]
[tex]\[
\text{Cape percentage} = \left(\frac{6250}{25000}\right) \times 100 = 25\%
\][/tex]
- Garrison Percentage:
[tex]\[
\text{Garrison percentage} = \left(\frac{\text{Number of Garrison houses}}{\text{Total number of houses}}\right) \times 100
\][/tex]
[tex]\[
\text{Garrison percentage} = \left(\frac{10000}{25000}\right) \times 100 = 40\%
\][/tex]
- Split Percentage:
[tex]\[
\text{Split percentage} = \left(\frac{\text{Number of Split houses}}{\text{Total number of houses}}\right) \times 100
\][/tex]
[tex]\[
\text{Split percentage} = \left(\frac{8750}{25000}\right) \times 100 = 35\%
\][/tex]
4. Summarize the percentages:
- Cape: 25%
- Garrison: 40%
- Split: 35%
Therefore, the percentage distribution of house styles on the circle graph would be:
- Cape: 25%
- Garrison: 40%
- Split: 35%
To address the specific options given in the question:
- Option (a): Cape - 40%, Split - 35%
- Option (b): Split - 40%, Garrison - 35%
Comparing the calculated percentages with the given options, we can see that neither Option (a) nor Option (b) are correct since the correct percentages are:
- Cape: 25%
- Garrison: 40%
- Split: 35%
None of the provided options (a) or (b) match the correct percentages, so neither is the correct distribution.
