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The cost of delivery for an order of desk chairs was $10.00

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ruturajp
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The cost of delivery for an order of desk chairs was $10.00 [#permalink] New post  Updated on: 31 Jul 2014, 02:48
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The cost of delivery for an order of desk chairs was $10.00 for the first chair, and $1.00 for each additional chair in the order. If an office manager placed an order for n desk chairs, is n > 24 ?

(1) The delivery cost for the order totalled more than $30.00.
(2) The average (arithmetic mean) delivery cost of the n chairs was $1.36.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-cost-of-delivery-for-an-order-of-desk-chairs-was-124235.html
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Originally posted by ruturajp on 06 Dec 2011, 02:21.
Last edited by Bunuel on 31 Jul 2014, 02:48, edited 1 time in total.
Renamed the topic and edited the question.
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jamifahad
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Re: The cost of delivery for an order of desk chairs was $10.00 [#permalink] New post  06 Dec 2011, 02:33
Stmt1: take n=25. total cost= 10+24(1)= 34 which is greater than 30.
Is n>24. Yes.
Take n=22. total cost=10+21(1)=31 which is greater than 30.
Is n>24. No.
Insufficient.

Stmt2: The average (arithmetic mean) delivery cost of the n chairs was $1.36.
[10+ (n-1)1]/n = 1.36
You will get ONE value of n. That value can be greater than 24 or less than 24 and accordingly you can answer either YES or NO.

Sufficient.

OA B.
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Re: The cost of delivery for an order of desk chairs was $10.00 [#permalink] New post  06 Dec 2011, 07:18
rephrasing the question is cost>33? [ cost of 24 chair will be 10+23=33]

1. cost> 30 . can be 31 or 34. Not Sufficient
2. Sum(#of chair)/n= 1.36
{10+(n-1)*1}/n=1.36
we can solve for n. Sufficient
B
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Vijayeta
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Re: The cost of delivery for an order of desk chairs was $10.00 [#permalink] New post  31 Jul 2014, 01:57
Please explain it.
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Re: The cost of delivery for an order of desk chairs was $10.00 [#permalink] New post  31 Jul 2014, 02:49
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The cost of delivery for an order of desk chairs was $10.00 for the first chair, and $1.00 for each additional chair in the order. If an office manager placed an order for n desk chairs, is n > 24 ?

According to the rule given in the stem the cost of delivery for n chairs is $10+$1*(n-1)=9+n.

(1) The delivery cost for the order totalled more than $30.00 --> 9+n>30 --> n>21, so n may or may not be more than 24. not sufficient.

(2) The average (arithmetic mean) delivery cost of the n chairs was $1.36 --> (average cost)=(total cost)/(# of chairs)=(9+n)/n. We are told that (9+n)/n=1.36 --> we can find the exact numerical value of n. Sufficient.

Answer: B.

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Re: The cost of delivery for an order of desk chairs was $10.00 [#permalink]
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