https://file.aiquickdraw.com/mathbot/file/1726602727087vaf8u078.jpg

Let's solve the three parts of the question based on the information provided in the image.

### Data from the image:
1. **Hamstead Harriers** has:
   - Total medals = 120
   - **Silver medals** = 129° (from the pie chart)
   - **Bronze medals** = 24° (from the pie chart)
   - **Gold medals** = 207° (from the pie chart)

2. **Ebford Athletics** has:
   - Total medals = 70
   - **Silver medals** = 144° (from the pie chart)
   - **Bronze medals** = 36° (from the pie chart)
   - **Gold medals** = 180° (from the pie chart)

Each full circle is **360°**, so the fraction of each type of medal can be found using the angle for that type.

### a) Which team won the higher proportion of silver medals?

To find the proportion of silver medals for each team, we divide the angle for silver medals by 360°.

For **Hamstead Harriers**:
\[
\text{Proportion of silver medals} = \frac{129^\circ}{360^\circ} = 0.3583
\]

For **Ebford Athletics**:
\[
\text{Proportion of silver medals} = \frac{144^\circ}{360^\circ} = 0.4
\]

So, **Ebford Athletics** won a higher proportion of silver medals (40%) compared to Hamstead Harriers (35.83%).

### b) Work out how many silver medals each team won.

To find the number of silver medals each team won, we multiply the proportion by the total number of medals for each team.

For **Hamstead Harriers**:
\[
\text{Silver medals} = 0.3583 \times 120 = 43
\]

For **Ebford Athletics**:
\[
\text{Silver medals} = 0.4 \times 70 = 28
\]

So, Hamstead Harriers won **43 silver medals** and Ebford Athletics won **28 silver medals**.

### c) Which team won the higher number of silver medals?

From part (b), Hamstead Harriers won **43 silver medals** and Ebford Athletics won **28 silver medals**. Therefore, **Hamstead Harriers** won a higher number of silver medals.

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Would you like more details or have any questions about these steps?

Here are some related questions:
1. What is the formula for calculating the number of medals for each type?
2. How do you convert angles into proportions in a pie chart?
3. How would the answer change if the total number of medals for each team were different?
4. How do you determine the difference in proportions between two values?
5. How would you calculate the proportion of bronze or gold medals?

**Tip:** In pie charts, dividing the angle by 360° gives the fraction or proportion of the total.

The medals won by two teams in a competition are shown. a) Which team won the higher proportion of silver medals? b) Work out how many silver medals each team won. c) Which team won the higher number of silver medals?

Analyze the proportion and number of silver medals won by two teams using pie charts. Learn how to calculate proportions from angles and work out the total number of silver medals for each team. Suitable for students in Grades 7-9.

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