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Bookwork code: G33
$100,859 \times P$
- Danial Ro
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 gold medals?
b) Work out how many gold medals each team won.
c) Which team won the higher number of gold medals?
Total number of medals won $=75$
Medals won
Total number of mèdals won $=120$
Key
Bronze
Silver
Gold
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Answer?

Step 1 ：Find the proportion of gold medals won by each team: \(\frac{\text{gold medals}}{\text{total medals}}\)

Step 2 ：Team A gold proportion: \(\frac{1}{6} = 0.1667\)

Step 3 ：Team B gold proportion: \(\frac{2}{9} = 0.2222\)

Step 4 ：Compare the gold proportions: Team B has a higher proportion of gold medals.

Step 5 ：Find the number of gold medals won by each team: \(\text{gold proportion} \times \text{total number of medals}\)

Step 6 ：Team A gold medals: \(0.1667 \times 75 = 12.5\) (round up to 13)

Step 7 ：Team B gold medals: \(0.2222 \times 120 = 26.64\) (round down to 26)

Step 8 ：Compare the number of gold medals: Team B has a higher number of gold medals.

Step 9 ：\(\boxed{\text{a) Team B won the higher proportion of gold medals.}}\)

Step 10 ：\(\boxed{\text{b) Team A won 13 gold medals, and Team B won 26 gold medals.}}\)

Step 11 ：\(\boxed{\text{c) Team B won the higher number of gold medals.}}\)