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Mon - 8 : 18 = 4 : 9
Tue - 10 : 22 = 5 : 11
Wed - 12 : 24 = 1 : 2
Thu - 10 : 26 = 5 : 13
Fri - 12 : 26 = 6 : 13

Wednesday's ratio comes out to 50%, on every other day the ratio is clearly less than 50%, so Ans (C).
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[quote="Bunuel"]
A computer retailer sells only TFT and LCD style monitors. According to the graph above, where the x-axis represents the day of the week and the y-axis represents the number of monitors sold, on which day was the ratio of the number of LCD monitors sold to total number of monitors sold the greatest?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday


Kudos for a correct solution.

Ans: C - Wednesday

By a close examination we can narrow down the options to Wednesday and Friday. All others have a ratio that would be smaller than these two options (since the sales are closer in number to each other and hence would not be the greatest)

Wednesday: 24/12 = 2
Friday: 26/14 = 13/7 which is obviously less than 2

Therefore, C, Wednesday
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The LCDs are in greater proportion when TFTs are of lesser proportion. Had to calculate each one separately.
A. \(<\frac{1}{2}\)
B. \(<\frac{1}{2}\)

C. \(\frac{1}{2}\)
D. \(<\frac{1}{2}\)
E. \(<\frac{1}{2}\)


IMO. C
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The answer is c as all other values are less than 0.5
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Bunuel

A computer retailer sells only TFT and LCD style monitors. According to the graph above, where the x-axis represents the day of the week and the y-axis represents the number of monitors sold, on which day was the ratio of the number of LCD monitors sold to total number of monitors sold the greatest?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday


Kudos for a correct solution.

Attachment:
tft-lcd-diagrams.gif

800score Official Solution:

The number of LCD sales is the difference between total sales and TFT sales. For each day of the week, we can determine the ratio of the number of LCD monitors sold to the total number of monitors sold:
Monday: (18 – 10)/18 = 4/9
Tuesday: (22 – 12)/22 = 5/11
Wednesday: (24 – 12)/24 = 1/2
Thursday: (26 – 16)/26 = 5/13
Friday: (26 – 14)/26 = 6/13.

The greatest fraction is 1/2, so the ratio on Wednesday is the largest. The correct answer is choice (C).
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The answer is he ratio of the difference to the total for each day of the week. The answer comes to Wednesday or option C.
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Deconstructing the Question
Only TFT and LCD monitors are sold.
\(\text{LCD} = \text{Total Sales} - \text{TFT Sales}\)
We must find the day when:
\(\frac{\text{LCD}}{\text{Total}}\)
is greatest.

Step-by-step
Monday:
Total = \(18\), TFT = \(10\) → LCD = \(8\)
\(\frac{8}{18}\)

Tuesday:
Total = \(22\), TFT = \(12\) → LCD = \(10\)
\(\frac{10}{22}\)

Wednesday:
Total = \(24\), TFT = \(12\) → LCD = \(12\)
\(\frac{12}{24}=\frac{1}{2}\)

Thursday:
Total = \(26\), TFT = \(16\) → LCD = \(10\)
\(\frac{10}{26}\)

Friday:
Total = \(26\), TFT = \(14\) → LCD = \(12\)
\(\frac{12}{26}\)

The greatest ratio occurs on Wednesday.

Answer: Wednesday
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