1. **State the problem:** Jet wants an average of 80% after 5 rounds, each worth 50 points. We know his scores for the first 4 rounds and want to find the minimum score in the 5th round to reach at least 80% average. 2. **Formula and rules:** Average score needed is 80% of total possible points over 5 rounds. Total points possible in 5 rounds = $5 \times 50 = 250$ points. Minimum total points needed = $0.80 \times 250 = 200$ points. 3. **Calculate total points scored in first 4 rounds:** $$49 + 46 + 44 + 45 = 184$$ 4. **Find minimum score needed in 5th round:** Let $x$ be the score in the 5th round. We want: $$184 + x \geq 200$$ $$x \geq 200 - 184$$ $$x \geq 16$$ So, Jet needs at least 16 points in the 5th round. --- 1. **State the problem:** Eden wants an average of 92% after 5 quizzes, each worth 20 points. We know her scores for the first 4 quizzes and want to find the minimum score in the 5th quiz to reach at least 92% average. 2. **Formula and rules:** Average score needed is 92% of total possible points over 5 quizzes. Total points possible in 5 quizzes = $5 \times 20 = 100$ points. Minimum total points needed = $0.92 \times 100 = 92$ points. 3. **Calculate total points scored in first 4 quizzes:** $$20 + 18 + 19 + 17 = 74$$ 4. **Find minimum score needed in 5th quiz:** Let $y$ be the score in the 5th quiz. We want: $$74 + y \geq 92$$ $$y \geq 92 - 74$$ $$y \geq 18$$ So, Eden needs at least 18 points in the 5th quiz. **Final answers:** - Jet needs a minimum score of **16** in the 5th round. - Eden needs a minimum score of **18** in the 5th quiz.