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N22J
On Halloween, Céilidh distributed candy to the trick-or-treaters who came to the door, with each trick-or-treater receiving exactly x chocolates, y gummy bears, and z lollipops. How many trick-or-treaters came to Céilidh's door?

(1) The numbers of chocolates, gummy bears, and lollipops that each trick-or-treater received were in the ratio 3:4:5, respectively.

(2) Céilidh distributed a total of 24 chocolates, 32 gummy bears, and 40 lollipops.

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target is find How many trick-or-treaters came to Céilidh's door

#1
The numbers of chocolates, gummy bears, and lollipops that each trick-or-treater received were in the ratio 3:4:5, respectively.
total not know insufficient
#2
Céilidh distributed a total of 24 chocolates, 32 gummy bears, and 40 lollipops.

this is in ratio of 3:4:5
insufficient
from 1 &2
same info insufficient
option E
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Can someone please explain why it's not C?

We are looking for n, i.e. number of children.

How thought about it... let's say the # of candies delivered in order of mention are: nx+ny+nz
Statement 1: we need to know n which is missing as only x:y:z are given, so I understand this is insufficient.
Statement 2: Again nx:ny:nz = 24:32:40, we don't know the n, so this is insufficient.
Combined: Statement 1 gives me me ratio and gives me exact value,so this should suffice, isn't it?

nx:ny:nz = 24:32:40
=> 3n:4n:5n = 24:32:40
=> n = 8, isn't it?
N22J
On Halloween, Céilidh distributed candy to the trick-or-treaters who came to the door, with each trick-or-treater receiving exactly x chocolates, y gummy bears, and z lollipops. How many trick-or-treaters came to Céilidh's door?

(1) The numbers of chocolates, gummy bears, and lollipops that each trick-or-treater received were in the ratio 3:4:5, respectively.

(2) Céilidh distributed a total of 24 chocolates, 32 gummy bears, and 40 lollipops.

Posted from my mobile device
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There is one more possibility
consider 24,32,40 distributed in 2 persons then it becomes 12*2,16*2,20*2
12,16,and 20 are in the ratio of 3:4:5
so there is no unique solution hence answer is E
Sam1001
Can someone please explain why it's not C?

We are looking for n, i.e. number of children.

How thought about it... let's say the # of candies delivered in order of mention are: nx+ny+nz
Statement 1: we need to know n which is missing as only x:y:z are given, so I understand this is insufficient.
Statement 2: Again nx:ny:nz = 24:32:40, we don't know the n, so this is insufficient.
Combined: Statement 1 gives me me ratio and gives me exact value,so this should suffice, isn't it?

nx:ny:nz = 24:32:40
=> 3n:4n:5n = 24:32:40
=> n = 8, isn't it?
N22J
On Halloween, Céilidh distributed candy to the trick-or-treaters who came to the door, with each trick-or-treater receiving exactly x chocolates, y gummy bears, and z lollipops. How many trick-or-treaters came to Céilidh's door?

(1) The numbers of chocolates, gummy bears, and lollipops that each trick-or-treater received were in the ratio 3:4:5, respectively.

(2) Céilidh distributed a total of 24 chocolates, 32 gummy bears, and 40 lollipops.

Posted from my mobile device
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Thanks, this is helpful. I was assuming the ratio in the simplified format as the values for x,y,z but that isn't necessarily the case, as you explained.
Akshaynandurkar
There is one more possibility
consider 24,32,40 distributed in 2 persons then it becomes 12*2,16*2,20*2
12,16,and 20 are in the ratio of 3:4:5
so there is no unique solution hence answer is E
Sam1001
Can someone please explain why it's not C?

We are looking for n, i.e. number of children.

How thought about it... let's say the # of candies delivered in order of mention are: nx+ny+nz
Statement 1: we need to know n which is missing as only x:y:z are given, so I understand this is insufficient.
Statement 2: Again nx:ny:nz = 24:32:40, we don't know the n, so this is insufficient.
Combined: Statement 1 gives me me ratio and gives me exact value,so this should suffice, isn't it?

nx:ny:nz = 24:32:40
=> 3n:4n:5n = 24:32:40
=> n = 8, isn't it?
N22J
On Halloween, Céilidh distributed candy to the trick-or-treaters who came to the door, with each trick-or-treater receiving exactly x chocolates, y gummy bears, and z lollipops. How many trick-or-treaters came to Céilidh's door?

(1) The numbers of chocolates, gummy bears, and lollipops that each trick-or-treater received were in the ratio 3:4:5, respectively.

(2) Céilidh distributed a total of 24 chocolates, 32 gummy bears, and 40 lollipops.

Posted from my mobile device
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On Halloween, Céilidh distributed candy to the trick-or-treaters who came to the door, with each trick-or-treater receiving exactly x chocolates, y gummy bears, and z lollipops. How many trick-or-treaters came to Céilidh's door?

(1) The numbers of chocolates, gummy bears, and lollipops that each trick-or-treater received were in the ratio 3:4:5, respectively.

(2) Céilidh distributed a total of 24 chocolates, 32 gummy bears, and 40 lollipops.


Statement 1 is clearly insufficient

No of student can be anything in the same ration, which is infinity.

Now Student can be either 24,32,40 can be distrbuted in 3,4and 5 but also can be distributed in 3x2, 4x2 and 5x2. so not sufficient.
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