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%?

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1

Understand the problem

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%?

2

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 = 98×0.30=29.4 98 \times 0.30 = 29.4
    Weighted grade for exam = 95×0.70=66.5 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 29.4 + 66.5 = 95.9

Therefore, Monica's average grade is 95.9 95.9 .

3

Final Answer

95.9 95.9

Practice Quiz

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Norbert buys some new clothes.

When he gets home, he decides to work out how much each outfit cost him on average.

PriceOutfit4 T-shirts2 pairs of shorts3 pairs of pants2 sweaters45$50$80$100$210$1 coat

What answer should he come up with?

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