Answer: To solve the problem, we need to subtract the number of points scored on touchdowns from the total number of points to find out how many points were scored on field goals.
133 points - (number of touchdowns x 7 points per touchdown) = points scored on field goals
We don't know the number of touchdowns, but we can use the fact that each touchdown is worth 7 points to write:
133 points - 7x = points scored on field goals
Now we can divide the points scored on field goals by the value of each field goal to find the number of field goals:
(points scored on field goals) / (3 points per field goal) = number of field goals
Putting it all together:
133 points - 7x = points scored on field goals
(points scored on field goals) / (3 points per field goal) = number of field goals
We need to solve for x, the number of touchdowns. We can start by isolating points scored on field goals:
133 points - 7x = points scored on field goals
points scored on field goals = 133 points - 7x
Now we can substitute this expression into the second equation:
(133 points - 7x) / (3 points per field goal) = number of field goals
Simplifying:
44.33 - 2.33x = number of field goals
Since the number of field goals must be a whole number, we can try different values of x until we find an integer solution. For example, if we assume that the Bobcats scored 16 touchdowns, then:
133 points - 7(16) = 21 points scored on field goals
21 points scored on field goals / 3 points per field goal = 7 field goals
Therefore, the Bobcats kicked 7 field goals.
Explanation: