2011 AMC 8 Problem 8

Attempt Problem 8 of the 2011 AMC 8 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 2011 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

8.

Bag A contains three chips labeled 1,1, 3,3, and 5.5. Bag B contains three chips labeled 2,2, 4,4, and 6.6. If one chip is drawn from each bag, how many different values are possible for the sum of the two numbers on the chips?
44
55
66
77
99
Answer: B
Concepts:basic countingsystematic listing
Small hint:
All sums are odd and range from 33 through 1111.
Big hint:
List the possible sums from the two bags.
Solution:
The table shows all nine outcomes. The distinct sums are 3,5,7,9,3,5,7,9, and 1111, so there are 55 possible values.
Thus, B is the correct answer.
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