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picnic icecream DS

by sachindia » Wed Aug 01, 2012 7:51 am
At a certain picnic, each of the guests was served
either a single scoop or a double scoop of ice cream.
How many of the guests were served a double scoop
of ice cream?
(1) At the picnic, 60 percent of the guests were
served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served
to all the guests at the picnic.
Regards,
Sach
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Source: — Data Sufficiency |
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by GMATGuruNY » Wed Aug 01, 2012 6:01 pm
sachindia wrote:At a certain picnic, each of the guests was served
either a single scoop or a double scoop of ice cream.
How many of the guests were served a double scoop
of ice cream?
(1) At the picnic, 60 percent of the guests were
served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served
to all the guests at the picnic.
Statement 1: 60% of the guests were served a double scoop
Let the number of guests = 10, implying that 6 guests are served 2 scoops each and that 4 guests are served 1 scoop each.
Number of scoops served to the double-scoop guests = 6*2 = 12.
Number of scoops served to the single-scoop guests = 4*1 = 4.
Thus, of every 16 scoops, 12 are served to the double-scoop guests:
12/16 = 3/4.
No way to determine the number of double-scoop guests.
INSUFFICIENT.

Statement 2: total scoops = 120
No way to determine the number of double-scoop guests.
INSUFFICIENT.

Statements 1 and 2 combined:
Number of scoops served to the double-scoop guests = (3/4)*120 = 90.
Since each double-scoop guest receives 2 scoops, the number of double-scoop guests = 90/2 = 45.
SUFFICIENT.

The correct answer is C.
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by sachindia » Sat Aug 04, 2012 2:28 am
Thanks a lot, Mitch!! :)
Regards,
Sach
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by Anurag@Gurome » Sat Aug 04, 2012 3:50 am
sachindia wrote:At a certain picnic, each of the guests was served
either a single scoop or a double scoop of ice cream.
How many of the guests were served a double scoop
of ice cream?
(1) At the picnic, 60 percent of the guests were
served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served
to all the guests at the picnic.
Let the no. of people who were served single scoop of ice cream = S
and the no. of people who were served double scoop of ice cream = D

(1) At the picnic, 60 percent of the guests were served a double scoop of ice-cream.
Then S : D = 40 : 60 = 2 : 3, but using this we cannot find the value of D; NOT sufficient.

(2) A total of 120 scoops of ice-cream were served to all the guests at the picnic.
S + 2D = 120, which is again NOT sufficient to find D.

Combining (1) and (2), we have 2 equation: S = 2D/3 and S + 2D = 120
Solving we get, 2D/3 + 2D = 120; which can be solved for D; SUFFICIENT.

The correct answer is C.
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