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Bookwork code: G33
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CSecond chance! Review your workings and see if you can correct your mistake.
The medals won by two teams in a competition are shown below.
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?
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Step 1 ：First, we need to find the total number of medals won by each team. Let's call the number of gold medals won by Team A as \(G_A\), silver medals as \(S_A\), and bronze medals as \(B_A\). Similarly, for Team B, we have \(G_B\), \(S_B\), and \(B_B\).

Step 2 ：Next, we need to find the proportion of silver medals won by each team. For Team A, the proportion of silver medals is \(\frac{S_A}{G_A + S_A + B_A}\), and for Team B, it is \(\frac{S_B}{G_B + S_B + B_B}\).

Step 3 ：Compare the proportions of silver medals won by each team to determine which team won the higher proportion of silver medals.

Step 4 ：To find the number of silver medals won by each team, we can use the given information about the total number of medals won by each team and the proportion of silver medals.

Step 5 ：Calculate the number of silver medals won by Team A: \(S_A = (G_A + S_A + B_A) \times \frac{S_A}{G_A + S_A + B_A}\).

Step 6 ：Calculate the number of silver medals won by Team B: \(S_B = (G_B + S_B + B_B) \times \frac{S_B}{G_B + S_B + B_B}\).

Step 7 ：Compare the number of silver medals won by each team to determine which team won the higher number of silver medals.

Step 8 ：Finally, check if the calculated number of silver medals for each team meets the requirements of the problem.