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An online grocery delivers groceries for $10.00 for the first box of f

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Bunuel
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An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   26 Jun 2015, 02:58
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An online grocery delivers groceries for $10.00 for the first box of food. Each additional box will cost $1.00 extra. Did Sam order more than 24 boxes of food from the online grocery.

(1)The total delivery cost was greater than $30.00.

(2) If the cost of the delivery was evenly divided for each box of food that was ordered, the average (arithmetic) mean for the delivery cost per box of food would be $1.36.
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chetan2u
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   26 Jun 2015, 03:21
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Bunuel wrote:
An online grocery delivers groceries for $10.00 for the first box of food. Each additional box will cost $1.00 extra. Did Sam order more than 24 boxes of food from the online grocery.

(1)The total delivery cost was greater than $30.00.

(2) If the cost of the delivery was evenly divided for each box of food that was ordered, the average (arithmetic) mean for the delivery cost per box of food would be $1.36.

Kudos for a correct solution.


Hi,
the question asks if the expenditure was above 10+23=33..
1) stat 1 tells us that cost >30.. anything 31,35,36 can be true... insuff
2) stat 2 gives us an equation 1.36*x=10+(x-1)*1.. we can find x from it ...suff
Also since 1.36 is an average, so when multiplied by the number of boxes , it should give us an integer...
since two decimal places are there , 1.36 has to be multiplied by atleast 5^2 or 25.... so suff
ans B
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   26 Jun 2015, 11:05
Is # of boxes=N>24 ?
1. Total cost of delivery >30 =10 +1*19 ; so # of packages may or may not be more than 24 or less than 24. Insufficient
2. 1.36*N >10+ (1-x)*1 therefore solving for x we get x as more than 25. Sufficient

Hence answer is B
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   29 Jun 2015, 07:02
1. Total cost of delivery >$30.00
So if we say $31 i.e 1 forz for 10 and then rest 21 boxes for 1 each makes it 31 he ordered total 22 and if we take otal cost of delivery = 60 then more than 24 boxes
hence NS

2. 1.36*N >10+ (1-boxes)*1
here boxes are def. greater than 24; =25
hence Suff

Answer B
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   08 Dec 2015, 10:04
(1)The total delivery cost was greater than $30.00....
It can be 31 to n.... Insuffcient.

(2) If the cost of the delivery was evenly divided for each box of food that was ordered, the average (arithmetic) mean for the delivery cost per box of food would be $1.36.
From this [10+(n-1)*1]/n=1.36...Sufficient.

Ans: B
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   08 Dec 2015, 12:54
robu wrote:
An online grocery delivers groceries for $10.00 for the first box of food. Each additional box will cost $1.00 extra. Did Sam order more than 24 boxes of food from the online grocery.

(1)The total delivery cost was greater than $30.00.

(2) If the cost of the delivery was evenly divided for each box of food that was ordered, the average (arithmetic) mean for the delivery cost per box of food would be $1.36.


For all such questions, try to simplify the question. Let the total number of boxes = x. Thus the total price of x boxes = 10+(x-1)*1=9+x, the question asks, is x>24? or in other words, the total cost of 24 boxes = 10+23*1=33 --> is the total cost > 33?

Per statement 1, total cost > 30 but was it >33? Yes if total cost = 35 but no if total cost =32. Thus this statement is not sufficient.

Per statement 2, (9+x)/x = 1.36. No need to solve. You will get 1 unique value and thus this statement is clearly sufficient.

B is the correct answer.
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   21 Jun 2022, 08:07
Can someone provide an explanation to form an equation for the second statement?
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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink] New post   21 Jun 2022, 09:54
pratiksha1998 wrote:
Can someone provide an explanation to form an equation for the second statement?



Read it carefully

"If the cost of the delivery was evenly divided for each box of food that was ordered, the average (arithmetic) mean for the delivery cost per box of food would be $1.36."

Now it says

Total cost of deliveries divided by the number of deliveries = 1.36

So let's assume the no of total deliveries be x

The first delivery costs $10 and subsequent ones $1

So we can say that the total cost of deliveries = 10 + (x-1)
= 9 + x

So

(9+x)/x = 1.36

Solve it, you get x = 25.

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Re: An online grocery delivers groceries for $10.00 for the first box of f [#permalink]
21 Jun 2022, 09:54
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