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All packets of cookies have same price, and all pastries also have the

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All packets of cookies have same price, and all pastries also have the  [#permalink]

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New post 17 Jul 2018, 23:19
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All packets of cookies have same price, and all pastries also have the same price; in a coffee shop. Whats the price of 6 packets of cookies and 3 pastries?

(1) 12 pastries and 15 packets of cookies cost $33.

(2) Price of a packet of cookie is 1/3 less than the price of a pastry.
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Re: All packets of cookies have same price, and all pastries also have the  [#permalink]

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New post 24 Jul 2018, 08:47
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amanvermagmat wrote:
All packets of cookies have same price, and all pastries also have the same price; in a coffee shop. Whats the price of 6 packets of cookies and 3 pastries?

(1) 12 pastries and 15 packets of cookies cost $33.

(2) Price of a packet of cookie is 1/3 less than the price of a pastry.


OA: C
Let the price of 1 packet of cookie be C , and price of 1 pastry be P
We have to find the value of 6C+3P

Statement 1 : 15C+12P=33
Dividing both sides by 3, we get
5C+4P=11
We are not able to calculate value of 6C+3P or value of both C and P individually
Statement 1 alone is not sufficient

Statement 2 : C=P/3
3C=P
We can reduce the question stem to what is value of 15C or 5P, but still need value of either C or P
Statement 2 alone is not sufficient

Combining Statement 1 and Statement 2, we have two equation and two variable
5C+4P=11 ...(1)
3C-P=0 ....(2)
These equations do not represent parallel or coincident line , so we will get unique value of C and P.
Hence combining Statement 1 and Statement 2 will give us the unique value of 6C+3P
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Re: All packets of cookies have same price, and all pastries also have the &nbs [#permalink] 24 Jul 2018, 08:47
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All packets of cookies have same price, and all pastries also have the

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