Question

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?

Answer 1

9514 1404 393

Answer:

• 22 touchdowns
• 13 field goals

Step-by-step 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.