At a walkathon, each participant from Group A and B completed either a 2-km route, 5-km route or 10-km route. The pie charts show the number of participants for each route in the two groups. Group A has twice as many participants as Group B.

- (a)
What is the ratio of the number of participants who completed the 10-km route in Group A to that of Group B? Give your answer in the simplest form.
- (b)
The total number of participants in Group A and Group B is 150. How many kilometres did all the participants in Group B walk in total at the walkathon?
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Worked solution
8(b)
1. Find the total number of participants in Group B
Group A has twice as many participants as Group B. Total participants = 3 units.
Number of participants in Group B =
2. Find the percentage of participants in Group B who completed the 2-km route
Percentage for 2-km route =
3. Calculate the number of participants for each route in Group B
2-km route: participants
5-km route: participants
10-km route: participants
4. Calculate the total distance walked by Group B
Total distance =
km
km
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