Final answer:
To calculate the number of touchdowns and field goals, equations based on the total points and the number of scores are formed and solved. However, without the exact total points scored, the number of touchdowns and field goals cannot be determined.
Step-by-step explanation:
To determine how many touchdowns and field goals the Bears scored, we need the total number of points that a touchdown and a field goal are worth. In football, a touchdown is worth 6 points and a field goal is worth 3 points.
Let's denote the number of touchdowns as T and the number of field goals as F. If the Bears scored 6 times in total, we have:
Suppose the Bears scored a total points. The equation for the total points is:
Using these two equations, for example, if a were 36 points, you could solve the system:
We can solve for T and F by substitution or elimination to determine the exact number of touchdowns and field goals. Unfortunately, without the specific total number of points a, we cannot determine the exact number of touchdowns and field goals the Bears scored.