1996 AMC 8 Problem 7
Attempt Problem 7 of the 1996 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 1996 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that double every month. If Brent has goldfish at the same time that Gretel has goldfish, then in how many months from that time will they have the same number of goldfish?
Answer: B
Small hint:
Each month Brent’s count multiplies by and Gretel’s by
Big hint:
The ratio of Gretel’s to Brent’s count starts at and halves each month
Solution:
Brent’s counts are and Gretel’s are
They are equal after months, when both have
Thus, the correct answer is B .
Problem 7 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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