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06 Aug 2026, 06:25
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Last week, did Cafe Luna sell more lunch boxes than Cafe Porto?
(1) More than 15% of the lunch boxes sold by Cafe Porto last week were sold on Friday, and fewer than 15% of the lunch boxes sold by Cafe Luna last week were sold on Friday.
(2) On Friday of that week, Cafe Luna sold more than 900 lunch boxes, and Cafe Porto sold fewer than 900 lunch boxes.
(1) More than 15% of the lunch boxes sold by Cafe Porto last week were sold on Friday, and fewer than 15% of the lunch boxes sold by Cafe Luna last week were sold on Friday.
(2) On Friday of that week, Cafe Luna sold more than 900 lunch boxes, and Cafe Porto sold fewer than 900 lunch boxes.
06 Aug 2026, 06:25
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Official Solution:
Last week, did Cafe Luna sell more lunch boxes than Cafe Porto?
Let \(L\) be the total number of lunch boxes Cafe Luna sold last week, and let \(P\) be the total number of lunch boxes Cafe Porto sold last week.
The question asks whether \(L > P\).
(1) More than 15% of the lunch boxes sold by Cafe Porto last week were sold on Friday, and fewer than 15% of the lunch boxes sold by Cafe Luna last week were sold on Friday.
This gives only percentage information about Friday sales relative to total weekly sales. It gives no actual sales numbers.
Not sufficient.
(2) On Friday of that week, Cafe Luna sold more than 900 lunch boxes, and Cafe Porto sold fewer than 900 lunch boxes.
This gives only Friday sales, not total weekly sales.
Not sufficient.
(1)+(2) For Cafe Luna, Friday sales were more than 900, but Friday sales were less than \(15\%\) of Luna’s weekly sales. Therefore, \(15\%\) of Luna’s weekly sales must be more than 900:
\(0.15L > 900\)
\(L > 6,000\)
For Cafe Porto, Friday sales were fewer than 900, but Friday sales were more than \(15\%\) of Porto’s weekly sales. Therefore, \(15\%\) of Porto’s weekly sales must be less than 900:
\(0.15P < 900\)
\(P < 6,000\)
Thus, \(L > 6,000\) and \(P < 6,000\), so \(L > P\).
Sufficient.
Answer: C
Last week, did Cafe Luna sell more lunch boxes than Cafe Porto?
Let \(L\) be the total number of lunch boxes Cafe Luna sold last week, and let \(P\) be the total number of lunch boxes Cafe Porto sold last week.
The question asks whether \(L > P\).
(1) More than 15% of the lunch boxes sold by Cafe Porto last week were sold on Friday, and fewer than 15% of the lunch boxes sold by Cafe Luna last week were sold on Friday.
This gives only percentage information about Friday sales relative to total weekly sales. It gives no actual sales numbers.
Not sufficient.
(2) On Friday of that week, Cafe Luna sold more than 900 lunch boxes, and Cafe Porto sold fewer than 900 lunch boxes.
This gives only Friday sales, not total weekly sales.
Not sufficient.
(1)+(2) For Cafe Luna, Friday sales were more than 900, but Friday sales were less than \(15\%\) of Luna’s weekly sales. Therefore, \(15\%\) of Luna’s weekly sales must be more than 900:
\(0.15L > 900\)
\(L > 6,000\)
For Cafe Porto, Friday sales were fewer than 900, but Friday sales were more than \(15\%\) of Porto’s weekly sales. Therefore, \(15\%\) of Porto’s weekly sales must be less than 900:
\(0.15P < 900\)
\(P < 6,000\)
Thus, \(L > 6,000\) and \(P < 6,000\), so \(L > P\).
Sufficient.
Answer: C
