Question

A football team scored a total of 50 points in one game. They scored:

A) 12 field goals (3 points each) and 14 touchdowns (6 points each)
B) 10 field goals (3 points each) and 13 touchdowns (7 points each)
C) 11 field goals (3 points each) and 12 touchdowns (5 points each)
D) 9 field goals (3 points each) and 13 touchdowns (6 points each)

Answer 1

After calculating the total points for each option provided, none of the combinations of field goals and touchdowns add up to a total of 50 points. Every option exceeds the required point total.

Step-by-step explanation:

To find which option correctly represents the score of 50 points with the given combinations of field goals and touchdowns, we need to calculate the total points for each option. Here's the breakdown for each:

• Option A: 12 field goals at 3 points each and 14 touchdowns at 6 points each would give us (12 × 3) + (14 × 6) = 36 + 84 = 120 points.
• Option B: 10 field goals at 3 points each and 13 touchdowns at 7 points each would give us (10 × 3) + (13 × 7) = 30 + 91 = 121 points.
• Option C: 11 field goals at 3 points each and 12 touchdowns at 5 points each would give us (11 × 3) + (12 × 5) = 33 + 60 = 93 points.
• Option D: 9 field goals at 3 points each and 13 touchdowns at 6 points each would give us (9 × 3) + (13 × 6) = 27 + 78 = 105 points.

None of these options add up to 50 points, so it appears that there may be an error in the question. Each option results in a total that is higher than 50 points.