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10 May 2016, 02:45
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
83% (02:32) correct
17%
(01:38)
wrong
based on 6
sessions
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Not Attempted Yet
A traveling bathroom fixture salesman sells shower heads and faucets. Each faucet is sold for $6, and each showerhead is sold for $4. How many more showerheads than faucets did the salesman sell last week?
(1) Last week, the salesman sold a total of $210 worth of showerheads and faucets, selling twice as many showerheads as faucets.
(2) If, last week, the salesman had sold 15 more showerheads, he would have sold 3 times as many showerheads as faucets.
(1) Last week, the salesman sold a total of $210 worth of showerheads and faucets, selling twice as many showerheads as faucets.
(2) If, last week, the salesman had sold 15 more showerheads, he would have sold 3 times as many showerheads as faucets.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
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10 May 2016, 22:55
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Bunuel
Let the faucet be F and shower head be S...
Total cost = 6F + 4S...
lets see the statements-
(1) Last week, the salesman sold a total of $210 worth of showerheads and faucets, selling twice as many showerheads as faucets.
this sentence fills up one equation made above and gives another equation..
so should be SUFF..
lets solve it-
\(6F+4S=210...(i)\)...........
\(S=2F..\)
substitue this value in (i)..
\(6F+4*2F=210........... 14F = 210......F=15..........S = 2F = 30\).............
\(S-F =30-15 = 15.\).
Suff
(2) If, last week, the salesman had sold 15 more showerheads, he would have sold 3 times as many showerheads as faucets.
\(S+15 = 3F.........\\
3F-S = 15.........\)
BUT we are looking for value of S-F...
Insuff
A
11 May 2016, 04:51
Kudos
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Bunuel
price of faucet = $6
price of shower head = $4
Number of shower head - number of faucet = ?
Statement 1: Total = 210 and # of showerheads = 2*# of faucets.
Assume number of faucets sold = x
Difference = x
Hence 210 = 2x*4 + x*6
We can calculate for x
SUFFICIENT
Statement 2:
Assume #of shower heads sold = x
x + 15 = 3*(# of faucets)
Number of faucets = x/3 + 5
We cannot calculate the value of x
INSUFFICIENT
Correct Option: A
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
