Math Problem of the Week - Algebra and Up - July 4, 2021 to July 10, 2021

Algebra and Up: 

Question: One half of Hailey's overall English grade comes from test scores. One fifth of her grade comes from quizzes. Another fifth comes from homework. The rest comes from classroom participation. If Hailey has an average test score of 92%, an average quiz score of 80%, and average homework score of 75%, and a classroom participation score of 100%, what is her overall grade as a percentage? 

Answer: 87%

Solution: To answer this question, we multiply each of Hailey's average scores by the fractional part of her score represented by that category, then we add it all together. So: 

0.5 × 0.92 + 0.2 × 0.75 + 0.2 × 0.8 + 0.1 × 1 = 0.46 + 0.15 + 0.16 + 0.1 = 0.87 = 87%