2009 AMC 8 Problem 15
Attempt Problem 15 of the 2009 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 2009 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
A recipe that makes servings of hot chocolate requires squares of chocolate, cup sugar, cup water and cups milk. Jordan has squares of chocolate, cups of sugar, lots of water, and cups of milk. If she maintains the same ratio of ingredients, what is the greatest number of servings of hot chocolate she can make?
Answer: D
Small hint:
Compare how many recipe batches each ingredient can support.
Big hint:
The ingredient that supports the fewest batches limits the servings.
Solution:
We need to find which ingredient is the limiting factor.
Jordan has enough chocolate for batches, enough sugar for batches, and enough milk for batches.
The milk is limiting, so Jordan can make servings.
Thus, D is the correct answer.
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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