In a convenience store in a certain year, the average : DS Archive
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# In a convenience store in a certain year, the average

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18 Oct 2004, 08:07
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In a convenience store in a certain year, the average (arithmetic mean)
monthly sales of soda X was n dollars. Was this less than, greater than,
or equal to the average (arithmetic mean) monthly sales of soda Y,
in dollars?

(1) The average (arithmetic mean) monthly sales of soda Y from January
to August were n dollars.

(2) The average (arithmetic mean) monthly sales of soda Y from May to
December were 2n dollars.

Easy problem of a type that I keep making stupid mistakes on ...
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18 Oct 2004, 12:28
Agree with B.
This way more people can benefit from this forum

Last edited by Dookie on 18 Oct 2004, 23:42, edited 1 time in total.
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18 Oct 2004, 15:26
Sorry about not getting the answers up fast enough ... I'm not really certain yet what the protocol is. Do people generally post an answer after an hour or so?

From the stem we know that the monthly average sales for soda X is n and thus the sales for the year are 12n.

(1) Tells us that for the eight months from January to August the average monthly sales for soda Y were n and thus the sales for that part of the year were 8n. Since we don't know about the rest of the year sales could have been higher or lower than soda X.
Therefore (1) is insufficient.

(2) Tells us that for the eight months from May to December the average monthly sales for soda Y were 2n and thus sales for that part of the year were 16n. This is sufficient for us to determine that average sales for soda Y were higher than for soda X (since yearly sales of 12n for X were lower than just the 8 months we know about for soda Y).
Therefor (2) is sufficient.

OA is B.
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