SOLUTION: Rita earns scores of 75, 82, 69, 82, and 67 on her five chapter tests for a certain class and a grade of 68 on the class project. The overall average for the course is computed as

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Question 1110356: Rita earns scores of 75, 82, 69, 82, and 67 on her five chapter tests for a certain class and a grade of 68 on the class project. The overall average for the course is computed as follows: the average of the five chapter tests makes up 55% of the course grade; the project accounts for 10% of the grade; and the final exam accounts for 35%. What scores can Rita earn on the final exam to earn a “B” in the course if the cut-off for a “B” is an overall score greater than or equal to 80, but less than 90? Assume that 100 is the highest score that can be earned on the final exam and that only whole-number scores are given.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Rita earns scores of 75, 82, 69, 82, and 67 on her five chapter tests for a certain class and a grade of 68 on the class project.
:
The overall average for the course is computed as follows:
the average of the five chapter tests makes up 55% of the course grade;
the project accounts for 10% of the grade; and
the final exam accounts for 35%.
:
What scores can Rita earn on the final exam to earn a “B” in the course if the cut-off for a “B” is an overall score greater than or equal to 80, but less than 90?
Assume that 100 is the highest score that can be earned on the final exam and that only whole-number scores are given.
:
let f = score on her final
Find the average of the 5 tests
%2875%2B82%2B69%2B82%2B69%29%2F5 = 75 is the average score
the ratio of the three scored item: 55:10:35 simplify to 11:2:7 Which totals 20
:
%28%2811%2875%29%2B2%2868%29%2B7f%29%29%2F20 => 80
825 + 136+ 7f => 80 * 20
961 + 7f => 1600
7f => 1600 - 961
7f => 639
f => 639/7
f => 91.3, she has to a get a 92 on the final to have B