2014 AMC 12B Problem 2
Attempt Problem 2 of the 2014 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 2014 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
Orvin went to the store with just enough money to buy balloons. When he arrived he discovered that the store had a special sale on balloons: buy balloon at the regular price and get a second at off the regular price. What is the greatest number of balloons Orvin could buy?
Answer: C
Small hint:
Group the balloons into pairs, one at full price and one at of the price
Big hint:
Each pair costs of a regular balloon’s price
Solution:
Under the sale, a pair of balloons costs times the regular price of one balloon.
Orvin’s money buys balloons at the regular price, so he can afford pairs, which is balloons.
Thus, the correct answer is C.
Problem 2 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
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