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02 Oct 2020, 00:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:42) correct
16%
(01:38)
wrong
based on 97
sessions
History
Date
Time
Result
Not Attempted Yet
Stacy went to a fashionista sample sale to buy miniskirts for her sorority's event. She was allowed to buy a 2nd miniskirt at half price for each miniskirt she bought at regular price. How many miniskirts did Stacy buy at the sample sale?
(1) The listed retail price of each miniskirt that Stacy bought was $21.50.
(2) Stacy bought a total of $129 in miniskirts for her sorority.
(1) The listed retail price of each miniskirt that Stacy bought was $21.50.
(2) Stacy bought a total of $129 in miniskirts for her sorority.
02 Oct 2020, 00:48
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Quote:
Step 1: Understanding the question
Let cost of each skirt be x and number of skirts she bought be y
When cost of first skirt is x, then cost of second skirt is x/2
hence cost of first two skirts = x+(x/2) = 3x/2
therefore, cost of each skirt after discount = 3x/4
Total cost of y skirts = 3xy/4
Required: number of skirts Stacy bought = y?
Step 2: Understanding statement 1 alone
(1) The listed retail price of each miniskirt that Stacy bought was $21.50.
x = 21.50
y cannot be calculated
Insufficient
Step 3: Understanding statement 2 alone
(2) Stacy bought a total of $129 in miniskirts for her sorority.
3xy / 4 = 129
xy = 172
y cannot be calculated
Insufficient
Step 4: Combining statement 1 and 2
xy = 172
x = 21.5
y = 172 / 21.5 = 8
Sufficient
IMO C
02 Oct 2020, 08:59
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Bunuel
As the question is worded, I wouldn't know how to answer it. The question says Stacy was "allowed to buy a second skirt at half price". That doesn't tell us that she actually did buy a second skirt at half price every time she bought a full price skirt.
Each Statement is clearly insufficient alone - Statement 1 tells us nothing about how many skirts were bought, while for Statement 2, she might have bought just one expensive skirt, or thousands of them if they cost $0.02 each at full price. Using both, if we assume that Stacy bought one skirt for $21.50 and one for half that, $10.75, every time she bought a skirt, then we know exactly what the skirts she bought cost, and exactly how much she spent, so under that assumption, of course we can solve for how many skirts she bought, and the answer is C. But if we don't know how often Stacy availed herself of the offered discount, the answer is E, since she might have bought only 4 skirts at full price, or up to 8 skirts if she always took advantage of the discount.
