Question

in a football game, a touchdown with an extra point is worth 7 points and a field goal is worth 3 points. Suppose that in a game the only scoring done by teams are touchdowns with extra points and field goals. Which of the scores 1 to 25 are impossible for a team to score?

Answer 1

1 and 2 are less then 3

4=3+1 but you cant get 1 from 7 or 3 so 4 is impossible. So is 5, 6, 8, and 20.

Bolded numbers are answers.

Answer 2

The answer is explained below.

Explanation:

To begin, it is necessary to discard 1 and 2 because the minimum score is 3.

Number 5 is another one, since it is not possible to score 3+2 with the given conditions.

Number 8 is another option because it would be necessary to score 3+3+2 (not possible) or 6+2 (not possible.)

Number 11 would require 6+1+3+1 which is not possible.