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An ice cream shop will make sundaes using any combination of ice cream

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An ice cream shop will make sundaes using any combination of ice cream  [#permalink]

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New post 22 Oct 2019, 23:28
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

43% (02:42) correct 57% (02:17) wrong based on 36 sessions

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EMPOWERgmat DS Series:
Pack 3, Question 5

An ice cream shop will make sundaes using any combination of ice cream flavors, including chocolate and vanilla. On a certain day, the manager noted that 80% of the sundaes made included chocolate ice cream and 20% of the sundaes made included both chocolate and vanilla ice cream. How many of the sundaes made that day did NOT include chocolate nor vanilla ice cream?

(1) 20 of the sundaes included vanilla but not chocolate.
(2) 140 of the sundaes did not include vanilla.




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Re: An ice cream shop will make sundaes using any combination of ice cream  [#permalink]

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New post 23 Oct 2019, 01:43
EMPOWERgmatRichC wrote:
An ice cream shop will make sundaes using any combination of ice cream flavors, including chocolate and vanilla. On a certain day, the manager noted that 80% of the sundaes made included chocolate ice cream and 20% of the sundaes made included both chocolate and vanilla ice cream. How many of the sundaes made that day did NOT include chocolate nor vanilla ice cream?

(1) 20 of the sundaes included vanilla but not chocolate.
(2) 140 of the sundaes did not include vanilla.



Let Only Vanilla be V, Only Chocolate be C, both be B and neither be N..
SO, V+C+B+N=T......V+0.8T+N=T.....0.2T=V+N... since chocolate = C+B=80% of T
We have to find N..

(1) 20 of the sundaes included vanilla but not chocolate.
V=20.....0.2T=20+N

(2) 140 of the sundaes did not include vanilla.
C+N=140.....0.6T+N=140, as Only chocolate = C = C+B-B=0.8T-0.2T=0.6T

Combined..
0.2T=20+N......0.6T=60+3N and 0.6T+N=140
60+3N+N=140......4N=80....N=20

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Re: An ice cream shop will make sundaes using any combination of ice cream  [#permalink]

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New post 28 Oct 2019, 09:40
using
both stmtns
we can make 2x2 matrix and solve
--c--nc--total
v--.2x--20-.2x--20
nv--.6--140-.6x--140
total--.8x--.2x---160
IMO C



EMPOWERgmatRichC wrote:
EMPOWERgmat DS Series:
Pack 3, Question 5

An ice cream shop will make sundaes using any combination of ice cream flavors, including chocolate and vanilla. On a certain day, the manager noted that 80% of the sundaes made included chocolate ice cream and 20% of the sundaes made included both chocolate and vanilla ice cream. How many of the sundaes made that day did NOT include chocolate nor vanilla ice cream?

(1) 20 of the sundaes included vanilla but not chocolate.
(2) 140 of the sundaes did not include vanilla.




2 Week Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 10 question PS & DS Block 3 question packs will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win. We have increased the contest window to 2 weeks from the posted date of the question - so that you can maximize your chances and answer all of the questions in each set!

To be eligible, your explanation must be submitted within the 2 week window after this post was created and should explain your reasoning why the answer you chose is correct

The OA will be held until a 1 week window has lapsed.

Links to the entire list of Quant and Verbal questions can be found here: EMPOWERgmat Forum Contest!...
GMAT Club Bot
Re: An ice cream shop will make sundaes using any combination of ice cream   [#permalink] 28 Oct 2019, 09:40
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