Math

QuestionWhat score do you need on the final exam to achieve an average of at least 90 with grades of 86 and 91?

Studdy Solution

STEP 1

Assumptions1. The first exam grade is86. The second exam grade is913. There is an optional final examination4. The final exam counts as one grade5. The goal is to achieve a final average of at least90

STEP 2

First, we need to find the total grades from the first two exams.
Totalgrades=Firstexamgrade+SecondexamgradeTotal\, grades = First\, exam\, grade + Second\, exam\, grade

STEP 3

Now, plug in the given values for the first and second exam grades to calculate the total grades.
Totalgrades=86+91Total\, grades =86 +91

STEP 4

Calculate the total grades from the first two exams.
Totalgrades=86+91=177Total\, grades =86 +91 =177

STEP 5

To find the final grade needed to achieve an average of90, we need to multiply the desired average by the total number of exams (including the final), and then subtract the total grades from the first two exams.
Finalgrade=DesiredaveragetimesTotalnumberofexamsTotalgradesFinal\, grade = Desired\, average \\times Total\, number\, of\, exams - Total\, grades

STEP 6

Plug in the values for the desired average, total number of exams, and total grades to calculate the final grade.
Finalgrade=90times3177Final\, grade =90 \\times3 -177

STEP 7

Calculate the final grade needed to achieve an average of90.
Finalgrade=90times3177=93Final\, grade =90 \\times3 -177 =93You must get93 on the final to earn an A in the course.

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