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7 votes
Ethan's football team scored a total of 35 separate times this season, with a mix of touchdowns and field

goals. Each touchdown is worth 7 points, and each field goal is worth 3 points. If the team scored a total of
193 points this season, how many touchdowns and field goals did they score?

User Aereaux
by
8.3k points

1 Answer

8 votes

9514 1404 393

Answer:

  • 22 touchdowns
  • 13 field goals

Explanation:

Let t represent the number of touchdowns scored. Then 35-t is the number of field goals, and the total score is ...

7t +3(35 -t) = 193

4t = 88 . . . . . . . . . . simplify, subtract 105

t = 22

35 -t = 13

The team scored 22 touchdowns and 13 field goals.

User Gamen
by
8.3k points
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