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Chapter 3: Problem 123

Melissa's grade in her math class is determined by three 100 -point tests and a 200 -point final exam. To determine the grade for a student in this class, the instructor will add the four scores together and divide this sum by 5 to obtain a percentage. This percentage must be at least 80 for a grade of \(\mathrm{B}\). If Melissa's three test scores are 75,69 , and 87 , what is the minimum score she needs on the final exam to obtain a B grade?

Short Answer

Expert verified
To achieve a grade of B, Melissa needs a minimum of 169 points in her final exam.

Step by step solution

01

Determine the Total Existing Points

Melissa has already obtained three test scores of 75, 69, and 87. To find out how many points she currently has, add these three scores together:\n\n75 + 69 + 87 = 231 points.
02

Establish the Minimum Total Points Needed for a B Grade

Melissa needs an average of 80 percent to obtain a B grade. The assignment says the total possible points (from all tests and the final) are divided by 5 to get this percentage. So, let's calculate the total minimum points she needs: \n\n0.80 (minimum B grade percentage) 脳 500 (total possible points) = 400 points.
03

Calculate the Minimum Grade for the Final Exam

Now that we know she currently has 231 points from her first three tests and needs at least 400 points total to earn a B grade, we can find out the minimum grade she needs on her 200-point final exam : \n\n400 (total points needed) - 231 (points already attained) = 169 points.

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