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Bunuel
The average of John’s test scores in his economics class is 80%. Only one test remains, and it is weighted at 25% of the final grade. If his final grade is based entirely on his test scores, what is the lowest percent John can receive on the final to earn an 85% in the class?

A. 96%

B. 97%

C. 98%

D. 99%

E. 100%

80% X 3 + x% x 1 = 85% x 4
Thus,
x% = 100%
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Bunuel
The average of John’s test scores in his economics class is 80%. Only one test remains, and it is weighted at 25% of the final grade. If his final grade is based entirely on his test scores, what is the lowest percent John can receive on the final to earn an 85% in the class?

A. 96%

B. 97%

C. 98%

D. 99%

E. 100%
Solution:

Since 80, the average of his test scores (before the last test), represents 75% of the final grade, we can create the equation where s is the score of his last test:

0.75(80) + 0.25s = 85

60 + 0.25s = 85

0.25s = 25

s = 100

Answer: E
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The average of John’s test scores in his economics class is 80%. Only one test remains, and it is weighted at 25% of the final grade. If his final grade is based entirely on his test scores, what is the lowest percent John can receive on the final to earn an 85% in the class?

A. 96%

B. 97%

C. 98%

D. 99%

E. 100%

I used weighted averages:
Aavg = 85
A1 = 80
A2 = ?
W1/W2 = 75/25 = A2 - 85/85-80 = A2 = 100%
E
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