In Alphatown there are 5400 young people aged 18 or less. There are 9300 aged over 18 . In Betatown there are 9300 young people aged 18 or less.
there are 21600 aged over 18
i) Clculate the percentage of young people in town
ii) Which town haa the greater proprtion of young people

Let's solve the problem step by step:

### (i) Calculate the percentage of young people in each town

1. **Alphatown:**
   - Total population of Alphatown = Young people aged 18 or less + People aged over 18
   - Total population of Alphatown = \(5400 + 9300 = 14700\)

   - Percentage of young people in Alphatown:
   \[
   \text{Percentage of young people} = \left( \frac{\text{Number of young people}}{\text{Total population}} \right) \times 100
   \]

   \[
   \text{Percentage of young people in Alphatown} = \left( \frac{5400}{14700} \right) \times 100
   \]

2. **Betatown:**
   - Total population of Betatown = Young people aged 18 or less + People aged over 18
   - Total population of Betatown = \(9300 + 21600 = 30900\)

   - Percentage of young people in Betatown:
   \[
   \text{Percentage of young people in Betatown} = \left( \frac{9300}{30900} \right) \times 100
   \]

### (ii) Determine which town has a greater proportion of young people

Now, let's calculate these values.### Results:

1. **Percentage of young people:**
   - In **Alphatown**: \(36.73\% \)
   - In **Betatown**: \(30.10\% \)

2. **Greater proportion of young people:**
   - **Alphatown** has a greater proportion of young people, with 36.73% compared to 30.10% in Betatown.

Would you like to know more details, or do you have any questions?

### Related Questions:
1. How many more young people would Betatown need to have the same proportion of young people as Alphatown?
2. What is the difference in the total population between Alphatown and Betatown?
3. How would the percentages change if both towns had an equal number of young people?
4. What would be the impact on the percentages if 1000 young people moved from Betatown to Alphatown?
5. How could we visualize these proportions effectively?

#### Tip:
When comparing proportions, always ensure that the total population sizes are considered for a fair comparison.

In Alphatown there are 5400 young people aged 18 or less. There are 9300 aged over 18. In Betatown there are 9300 young people aged 18 or less. There are 21600 aged over 18.
 i) Calculate the percentage of young people in each town.
 ii) Which town has the greater proportion of young people?

This problem involves calculating the percentage of young people in Alphatown and Betatown, followed by comparing which town has a greater proportion of young people. It covers percentage calculation, population distribution, and proportion comparison, making it suitable for students in Grades 5-7.

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