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At a restaurant, five friends each purchased a sandwich. Did the sum

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At a restaurant, five friends each purchased a sandwich. Did the sum  [#permalink]

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New post 06 Oct 2018, 07:10
2
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A
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C
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Difficulty:

  55% (hard)

Question Stats:

51% (00:53) correct 49% (00:46) wrong based on 49 sessions

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At a restaurant, five friends each purchased a sandwich. Did the sum of the five sandwiches exceed $70?

(1) The price of the least expensive sandwich exceeded $13.

(2) The price of the most expensive sandwich exceeded $18.

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Re: At a restaurant, five friends each purchased a sandwich. Did the sum  [#permalink]

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New post 06 Oct 2018, 07:44
GMATYoda wrote:
At a restaurant, five friends each purchased a sandwich. Did the sum of the five sandwiches exceed $70?

(1) The price of the least expensive sandwich exceeded $13.

(2) The price of the most expensive sandwich exceeded $18.



Lets analyze each of the statements:

Statement 1:

Suppose each friend at paid the minimum amount of $13 to buy each sandwich then total price =13*5= $65
Since each sandwich price will be a liitle more than $13 so minimum price of total sandwich will be > $65

This can be 66,67,70,80,90 anythings

So clearly this statement is not sufficient.

Now lets see statement 2:

Clearly this doesnt give any information about minimum value so not sufficient.

4 sandwich can be price $1 and 5th can price $18 .(Will imply price less than 70)
4 sandwich 15 and 5h sanwich price price is $18 .(Will imply price greater than 70)

Now lets see both the statements together

Minmum price is $13 and Max price is $18
So lets calculate the minimum total price of 5 sandwich

4*13+ 18*1=70 (since prices are little more than 13 and little more than 18) so net minimum price will be little more
than 70 .

Hence this together answers the question whether price will be greater than $70.

So answer is C.


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Re: At a restaurant, five friends each purchased a sandwich. Did the sum  [#permalink]

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New post 07 Oct 2018, 05:20
If we consider the minimum price, 13*4 +18*1 , it would turn up $70. Thus it will not exceed $70, but equals to $70. How we are concluding IMO as C. I think I'm missing somewhere.
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Re: At a restaurant, five friends each purchased a sandwich. Did the sum  [#permalink]

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New post 07 Oct 2018, 06:16
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sghoshgt wrote:
If we consider the minimum price, 13*4 +18*1 , it would turn up $70. Thus it will not exceed $70, but equals to $70. How we are concluding IMO as C. I think I'm missing somewhere.


Please notice the statement 1 carefully .(It is very smartly crafted)

1.The price of the least expensive sandwich exceeded $13.


So the price is not exactly $13 but just a little more than $13.So based on this the minmum price 13(little greater than 13)*4 +18*1 will be little greater than $70



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Re: At a restaurant, five friends each purchased a sandwich. Did the sum &nbs [#permalink] 07 Oct 2018, 06:16
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