SOLUTION: I appreciate any help on this problem: Hannah has taken three exams and earned scores of 85,72, and 77 out of a possible 100 points. She needs an average of at least 80 to earn

Question 182141: I appreciate any help on this problem:
Hannah has taken three exams and earned scores of 85,72, and 77 out of a possible 100 points. She needs an average of at least 80 to earn a B in the course. What range of scores on the fourth (and last) 100-point test will guarantee a B in the course?
This is the equation I set up for the problem: ((85+72=77+b)/4)=80
And I know the lowest possible grade is 86 but I'm not sure how to set up the answer for this problem and this teacher takes off points for any little mistake made in getting the answer.
Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hannah has taken three exams and earned scores of 85,72, and 77 out of a possible 100 points. She needs an average of at least 80 to earn a B in the course. What range of scores on the fourth (and last) 100-point test will guarantee a B in the course?
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This is the inequality I set up for the problem: ((85+72+77+b)/4) >=80
80 <= (234+b)/4
320 <= 234 + b
86 <= b
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Range: 86 <= b <= 100
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Cheers,
Stan H.

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