2019 AMC 8 Problem 1
Attempt Problem 1 of the 2019 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
1.
Ike and Mike go into a sandwich shop with a total of to spend. Sandwiches cost each and soft drinks cost each. Ike and Mike plan to buy as many sandwiches as they can, and use any remaining money to buy soft drinks. Counting both soft drinks and sandwiches, how many items will they buy?
Answer: D
Small hint:
Find the greatest whole number of sandwiches first
Big hint:
Spend the remaining money on drinks
Video solution:
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Written solution:
If they buy sandwiches, they would spend dollars. This means that they would not be able to buy any more sandwiches.
They would then have dollars left. With this, they could buy sodas. They would therefore buy a total of items.
Thus, the correct answer is D.
Problem 1 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
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- 2012 AMC 8
- 2013 AMC 8
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- 2018 AMC 8
- 2020 AMC 8
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- 2026 AMC 8