1998 AMC 8 Problem 11

Attempt Problem 11 of the 1998 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 1998 AMC 8 solutions, or check the answer key.

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

11.

Harry has 33 sisters and 55 brothers. His sister Harriet has SS sisters and BB brothers. What is the product of SS and B?B?
88
1010
1212
1515
1818
Answer: C
Concepts:basic countinglogical deduction
Small hint:
First count the total boys and girls in the family.
Big hint:
Harriet is one of Harry’s sisters.
Solution:
Since Harry has 33 sisters and 55 brothers, the family has 33 girls and 66 boys. Harriet is one of the girls, so she has 22 sisters and 66 brothers.
Therefore, SB=2⋅6=12.SB=2\cdot 6=12.
Thus, the correct answer is C .
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