2005 AMC 12A Problem 4
Attempt Problem 4 of the 2005 AMC 12A 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 2005 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
A store normally sells windows at each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How many dollars will they save if they purchase the windows together rather than separately?
Answer: A
Small hint:
For every windows paid for, a th comes free
Big hint:
Compare the number of paid windows separately versus for windows together
Solution:
Buying separately, Dave gets windows by paying for (), and Doug gets by paying for (), for a total of
Buying together, they need windows: paying for yields free, for a cost of
The savings are
Thus, the correct answer is A.
Problem 4 in other years
- 1950 AMC 12
- 1951 AMC 12
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