2019 AMC 12B Problem 5
Attempt Problem 5 of the 2019 AMC 12B 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 2019 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
Each piece of candy in a store costs a whole number of cents. Casper has exactly enough money to buy either pieces of red candy, pieces of green candy, pieces of blue candy, or pieces of purple candy. A piece of purple candy costs cents. What is the smallest possible value of
Answer: B
Small hint:
Casper’s total money must be divisible by each candy count
Big hint:
The total is a multiple of
Solution:
Let be Casper’s money in cents. Since he can exactly buy or whole-cent pieces, is a multiple of
Purple candy costs cents, so The smallest is giving
Thus, B is the correct answer.
Problem 5 in other years
- 1950 AMC 12
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