Math

A hockey team played 12 games. They won 2 more than they lost. They lost 1 more than they tied. How many games did they win, lose, and tie?

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1. first represent unknowns with variables.
let x = games that they tied
let x+1 = games that they lost
let (x+1)+2 = games that they won
then we set-up the equation. since the total games is 12,
x + x+1 + (x+1)+2 = 12
x + x + 1 + x + 3 = 12
3x + 4 = 12
3x = 8
x = 8/3 = 2.67 games (tied)
x+1 = 3.67 games (lost)
x+1+2 = 5.67 games (won)

actually, the answers should be in whole numbers. there might be some error on the given, etc.

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2. A softball team played 30 games, and lost 5 times as many games as they won. If there were no ties, how many games did they lose?

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