1985 AMC 8 Problem 5

Attempt Problem 5 of the 1985 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1985 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

5.

The grades in a mathematics class for the last grading period were: 55 students earned an A, 44 earned a B, 33 earned a C, 33 earned a D, and 55 earned an F. If A, B, C, and D are satisfactory grades, what fraction of the grades are satisfactory?
12\dfrac{1}{2}
23\dfrac{2}{3}
34\dfrac{3}{4}
45\dfrac{4}{5}
910\dfrac{9}{10}
Answer: C
Concepts:data and graph interpretationfraction
Small hint:
Add the counts for the satisfactory grades A, B, C, and D
Big hint:
Divide the satisfactory count by the total number of grades
Solution:
The satisfactory grades number 5+4+3+3=15,5 + 4 + 3 + 3 = 15, and the total number of grades is 15+5=20.15 + 5 = 20.
So the fraction that is satisfactory is 1520=34.\dfrac{15}{20} = \dfrac{3}{4}.
Thus, the correct answer is C .
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