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06 Aug 2026, 11:26
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A cafe sold drinks throughout a certain week. What was the average (arithmetic mean) price per drink sold at the cafe that week?
(1) From Monday through Wednesday of that week, the average (arithmetic mean) price per drink sold was $4.20.
(2) From Thursday through Sunday of that week, the average (arithmetic mean) price per drink sold was $5.40.
(1) From Monday through Wednesday of that week, the average (arithmetic mean) price per drink sold was $4.20.
(2) From Thursday through Sunday of that week, the average (arithmetic mean) price per drink sold was $5.40.
06 Aug 2026, 11:26
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Official Solution:
A cafe sold drinks throughout a certain week. What was the average (arithmetic mean) price per drink sold at the cafe that week?
(1) From Monday through Wednesday of that week, the average price per drink sold was $4.20.
This gives the average price for only part of the week, not for the whole week.
Not sufficient.
(2) From Thursday through Sunday of that week, the average price per drink sold was $5.40.
This gives the average price for only part of the week, not for the whole week.
Not sufficient.
(1)+(2) Together, the statements give the average prices for both parts of the week.
However, to find the average price for the whole week, we also need to know how many drinks were sold during each part of the week.
For example, if the same number of drinks were sold during each part, the weekly average would be:
\(\frac{4.20 + 5.40}{2} = 4.80\)
But if many more drinks were sold from Thursday through Sunday, the weekly average would be closer to $5.40.
So the weekly average cannot be determined.
Not sufficient.
Answer: E
A cafe sold drinks throughout a certain week. What was the average (arithmetic mean) price per drink sold at the cafe that week?
(1) From Monday through Wednesday of that week, the average price per drink sold was $4.20.
This gives the average price for only part of the week, not for the whole week.
Not sufficient.
(2) From Thursday through Sunday of that week, the average price per drink sold was $5.40.
This gives the average price for only part of the week, not for the whole week.
Not sufficient.
(1)+(2) Together, the statements give the average prices for both parts of the week.
However, to find the average price for the whole week, we also need to know how many drinks were sold during each part of the week.
For example, if the same number of drinks were sold during each part, the weekly average would be:
\(\frac{4.20 + 5.40}{2} = 4.80\)
But if many more drinks were sold from Thursday through Sunday, the weekly average would be closer to $5.40.
So the weekly average cannot be determined.
Not sufficient.
Answer: E
