The problem provides pie charts representing the medals won by two teams: Holwell Harriers and Dean Runners. The pie charts show the distribution of bronze, silver, and gold medals for each team, along with the total number of medals won by each team. The problem asks us to: a) Determine which team won the higher proportion of gold medals. b) Calculate the number of gold medals each team won. c) Determine which team won the higher number of gold medals.

1. Problem Description

The problem provides pie charts representing the medals won by two teams: Holwell Harriers and Dean Runners. The pie charts show the distribution of bronze, silver, and gold medals for each team, along with the total number of medals won by each team. The problem asks us to:

a) Determine which team won the higher proportion of gold medals.

b) Calculate the number of gold medals each team won.

c) Determine which team won the higher number of gold medals.

2. Solution Steps

a) To find the proportion of gold medals for each team, we need to divide the angle representing gold medals by 360 degrees.

For Holwell Harriers, the gold medal angle is 36 degrees, and the total number of medals is

1

1

0. Proportion of gold medals for Holwell Harriers = $36/360 = 1/10 = 0.1$.

For Dean Runners, the gold medal angle is 60 degrees, and the total number of medals is

6

0. Proportion of gold medals for Dean Runners = $60/360 = 1/6 \approx 0.167$.

Since $0.167 > 0.1$, Dean Runners won a higher proportion of gold medals.

b) To find the number of gold medals each team won, we multiply the proportion of gold medals by the total number of medals.

Number of gold medals for Holwell Harriers = $(36/360) \times 110 = (1/10) \times 110 = 11$.

Number of gold medals for Dean Runners = $(60/360) \times 60 = (1/6) \times 60 = 10$.

c) To determine which team won the higher number of gold medals, we compare the number of gold medals each team won.

Holwell Harriers won 11 gold medals, and Dean Runners won 10 gold medals.

Since $11 > 10$, Holwell Harriers won a higher number of gold medals.

3. Final Answer

a) Dean Runners won the higher proportion of gold medals.

b) Holwell Harriers won 11 gold medals, and Dean Runners won 10 gold medals.

c) Holwell Harriers won the higher number of gold medals.