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.
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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
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
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