16. In a math competition, participants can obtain 4 possible awards: Gold, Silver, Bronze and Participation. 3/7 of the participants obtained Gold awards, 1/4 of them obtained Silver awards, and 1/6 of them obtained Bronze awards. Given that there were less than 100 participants taking the competition,
a) How many participants obtained the awards for Participation? [3]
b) How many more participants obtained Gold awards than Bronze awards? [2]
a) How many participants obtained the awards for Participation? [3]
b) How many more participants obtained Gold awards than Bronze awards? [2]
3/7 x 12/12 = 36/84
1/4 x 3/3 x 7/7 = 21/84
1/6 x 2/2 x 7/7 = 14/84
84 – 36 – 21 – 14 = 13
a) 13 participants obtained the awards for Participation.
36 – 14 = 22
b) 22 more participants obtained Gold awards than Bronze awards.
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