Question

Field goals worth three points and touchdowns worth seven points were scored during the homecoming football game. With 11 scores, the team set a county record of 57 points. Build a system of equations that can be used to find how many field goals and touchdowns were made.?

Answer 1

f = field goal
t = touchdown

The number of field goals and touchdowns is 11, so f + t = 11

The score accumulated by the touchdowns is the number of touchdowns multiplied by 7 and the score accumulated by the field goals is the number of field goals by 3.

7t + 3f = 57