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.

  1. (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.

  2. (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.
3 units=1503 \text{ units} = 150
1 unit=150÷3=501 \text{ unit} = 150 \div 3 = 50
Number of participants in Group B = 5050

2. Find the percentage of participants in Group B who completed the 2-km route

Percentage for 2-km route = 100%−48%−20%=32%100\% - 48\% - 20\% = 32\%

3. Calculate the number of participants for each route in Group B

2-km route: 32%×50=1632\% \times 50 = 16 participants
5-km route: 48%×50=2448\% \times 50 = 24 participants
10-km route: 20%×50=1020\% \times 50 = 10 participants

4. Calculate the total distance walked by Group B

Total distance = (16×2)+(24×5)+(10×10)(16 \times 2) + (24 \times 5) + (10 \times 10)
=32+120+100= 32 + 120 + 100
=252= 252 km

Answer

240240 km

AI analysis — may contain mistakes.

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