SOLUTION: Cheryl is dividing her soccer team into 5 groups, 1/2 are forwards,1/6 are halfbacks,1/6 are wings,1/12 are fullbacks and 2 others are goalies. How many players are there on the te

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Question 153579: Cheryl is dividing her soccer team into 5 groups, 1/2 are forwards,1/6 are halfbacks,1/6 are wings,1/12 are fullbacks and 2 others are goalies. How many players are there on the team and how many in each group?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The trick here is to total of the 'fractional parts'.
So add 1%2F2+%2B+1%2F6+%2B+1%2F6+%2B+1%2F12
6%2F12+%2B+2%2F12+%2B+2%2F12+%2B+1%2F12
11%2F12
The total fraction when everyone is counted must be 1. We are short 1%2F12
So 2 two goalies must be 1%2F12 worth of the group.
2%2FGroupTotal+=+1%2F12
24+=+GroupTotal
Now check your answers.
1/2 would be 12
1/6 would be 4
1/12 would be 2
Does 12+4+4+2+2 = 24?