Question

To earn the score he wants in a trivia game, Jet needs an average of 80% after five rounds. Each round is worth 50 points. The scores of his first four rounds were 49, 46, 44, and 45. If there is one more round, what minimum score can he receive to earn at least an 80% average?

Answer 1

After calculating the total points needed to achieve an 80% average and adding his current scores, we determine that Jet requires a minimum score of 16 points in the last round to reach an 80% average.

Step-by-step explanation:

To determine the minimum score Jet needs in the last round of the trivia game to earn at least an 80% average overall, we first need to calculate the total points he needs after five rounds. Since each round is worth 50 points and he aims for an 80% average, Jet needs 80% of the total points possible after five rounds.

Total points for five rounds are 5 × 50 = 250 points.

To achieve an 80% average, he needs 80% of 250 points, which equals 0.80 × 250 = 200 points.

Now, let's add his scores from the first four rounds: 49 + 46 + 44 + 45 = 184 points.

Subtract his current total from the target total to find the minimum score for the last round:

200 points (target total) - 184 points (current total) = 16 points.

Thus, the minimum score Jet needs in the last round to achieve an 80% average is 16 points.