1994 AMC 8 Problem 11

Attempt Problem 11 of the 1994 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 1994 AMC 8 solutions, or check the answer key.

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

11.

Last summer 100100 students attended basketball camp. Of those attending, 5252 were boys and 4848 were girls. Also, 4040 students were from Jones Middle School and 6060 were from Clay Middle School. Twenty of the girls were from Jones Middle School. How many of the boys were from Clay Middle School?
2020
3232
4040
4848
5252
Answer: B
Concepts:logical deduction
Small hint:
First find how many girls came from Clay Middle School
Big hint:
Subtract the Clay girls from the 6060 Clay students to get the Clay boys
Solution:
Since 4848 girls attended and 2020 were from Jones, 48−20=2848 - 20 = 28 girls were from Clay.
Clay had 6060 students total, so the number of Clay boys is 60−28=32.60 - 28 = 32.
Thus, the correct answer is B .
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