A football team scored 222 points during a 3-game series from touchdowns (6pts each),extra points...

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Algebra

A football team scored 222 points during a 3-game series from touchdowns (6pts each),extra points (1pt each), field goals (3pts each), safeties (2pts each), and two-point conversions (2pts each).After the games, the coach reflected on the fact that half their touchdowns resulted in 2pt conversions, the other in extra points from their kicker. The assistant coach remarked that they made two less field goals than touch downs and that they had half as many safeties as field goals.How many touchdowns, extra points, field goals, safeties, and two-point conversions did they make?

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A football team scored 222 points during a 3-game series from touchdowns (6pts each),extra points (1pt each), field goals (3pts each), safeties (2pts each), and two-point conversions (2pts each).After the games, the coach reflected on the fact that half their touchdowns resulted in 2pt conversions, the other in extra points from their kicker. The assistant coach remarked that they made two less field goals than touch downs and that they had half as many safeties as field goals.How many touchdowns, extra points, field goals, safeties, and two-point conversions did they make?