In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the overall grade, homework is worth 15% of the overall grade, and class participation is worth 5% of the overall grade.A particular student has earned an average score of 82.2% on the exams, 74.4% on the quizzes, 90.0% on the homeworks, and 100.0% on class participation. What is this student's overall grade in the course?Report the answer with one digit after the decimal point.

Answer:His overall grade is 81.9%Explanation:The easiest way to solve this question is by using simple cross multiplication.1- His overall percentage in exams:We are given that exams are worth 50% of the grade and that he scored an average of 82.2%Assume that his overall percentage in exams is eWe can setup the ratio and solve for e as follows:[tex]\frac{82.2}{100}=\frac{e}{50} \\ \\e=\frac{50*82.2}{100}=41.1[/tex]%2- His overall grade in quizzes:We are given that quizzes are worth 30% of the grade and that he scored 74.4%Assume that his overall percentage in quizzes is qWe can setup the ratio and solve for q as follows:[tex]\frac{74.4}{100}=\frac{q}{30} \\ \\q=\frac{30*74.4}{100}=22.32[/tex]%3- His overall grade in homework:We are given that homework is worth 15% of the grade and that he scored an average of 90%Assume that his overall percentage in exams is hWe can setup the ratio and solve for h as follows:[tex]\frac{90}{100}=\frac{h}{15} \\ \\h=\frac{15*90}{100}=13.5[/tex]%4- His overall grade in class participation:We are given that class participation is worth 5% of the grade and that he scored a 100% in itAssume that his overall percentage in exams is pSince he scored 100%, then he scored the complete worth which is 5%p = 5%5- His overall grade in the course:The student's overall grade in the course is the summation of the above calculated percentagesThis means that:Overall grade = e + q + h + pOverall grade = 41.1 + 22.32 + 13.5 + 5Overall grade = 81.92% which is 81.9% approximated to one decimal placeHope this helps :)