Question

Nellie's soccer team is having a great season. The team is being coached by Nellie's mom, who divided the team into five groups: 1/2 the players are forwards, 1/6 are wings, 1/6 are halfbacks, 1/12 are fullbacks, and 2 others are goalies. How many players are on Nellie's team, and how many are in each group?

Answer 1

Let x = total players

1/2 x + 1/6 x + 1/6 x + 1/12 x = x - 2

Get common denominator.

6/12 x + 2/12 x + 2/12 x + 1/12 x = x - 2

Add like terms.

11/12 x = x - 2

Multiply both sides by 12.

11x = 12x - 24

You should be able to take it from there. I hope this helps.

Answer 2

24

Answer 3

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