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salantis [7]
2 years ago
11

A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25

% of the course grade. What is the best course grade your friend can earn? % What is the minimum score would your friend would need on the final to earn a 75% for the course? %
Mathematics
1 answer:
Klio2033 [76]2 years ago
8 0

Answer:

\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%

Step-by-step explanation:

Assuming the maximum score for the final is 100\%, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of 100\%, their overall grade for the course would be:

83(1-0.25)+100(0.25)=\fbox{$87.25\%$}.

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

83(1-0.25)+x(0.25)=75, where x is the minimum score she needs.

Solving, we get:

62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}.

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