Calculate Monica's Weighted Average: Grades from 30% and 70% Inputs

What is Monica's average grade if she gets 98 on an assignment that represents 30% and a 95 on an exam that represents 70%?

Step-by-Step Solution

Let's solve the problem by applying the steps we outlined:

Step 1: Identify the grade and weight for each component:
- Assignment: Grade = 98, Weight = 30% (or 0.30)
- Exam: Grade = 95, Weight = 70% (or 0.70)
Step 2: Apply the weighted average formula:
  - Compute the weighted grade for each component:
    Weighted grade for assignment = $98 \times 0.30 = 29.4$
    Weighted grade for exam = $95 \times 0.70 = 66.5$
Step 3: Sum the weighted grades to find Monica's average grade:
- Total weighted average = $29.4 + 66.5 = 95.9$

Therefore, Monica's average grade is $95.9$ .

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