1985 AMC 8 Problem 16

Attempt Problem 16 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).

16.

The ratio of boys to girls in Mr. Brown’s math class is 2:3.2 : 3. If there are 3030 students in the class, how many more girls than boys are in the class?
11
33
55
66
1010
Answer: D
Concepts:ratio and proportion
Small hint:
The class splits into 2+3=52 + 3 = 5 equal parts
Big hint:
Girls exceed boys by exactly one part, so find the size of one part
Solution:
The 3030 students split into 55 equal parts of 6.6. Boys make up 22 parts (1212) and girls 33 parts (1818).
So there are 18−12=618 - 12 = 6 more girls than boys.
Thus, the correct answer is D .
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.