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

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06 Dec 2011, 01:20

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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.

Using (1), the total is to be more than $30, which can be the case if n is greater than or less than 24. For instance, when n=22, the total cost is $31, but when n=25, the total cost is $34, which are both greater than $30. Insufficient. Using (2), we are given that [10 + (n-1)]/n = 1.36 => n= 25, which is greater than 24. Sufficient.

(1) only tells us n >= 21; not sufficient by itself (2) tells us [10+n-1]/n = 1.36; which will lead to a definitive answer and therefore is sufficient by itself

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.

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

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16 Apr 2012, 00:48

Bunuel wrote:

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.

awesome as you have rephrased the statement,.

We could think also in this way: 1 chair cost 10 and the others 1 more $. for 24 chairs we have a total of 33 $. so we could say: is total cost more than 33$ ??? is correct bunuel ??

also is unclear (n-1) in the formula above is not : Tot= 10 + 1*N ??????? N is the number of chair.....

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.

awesome as you have rephrased the statement,.

We could think also in this way: 1 chair cost 10 and the others 1 more $. for 24 chairs we have a total of 33 $. so we could say: is total cost more than 33$ ??? is correct bunuel ??

also is unclear (n-1) in the formula above is not : Tot= 10 + 1*N ??????? N is the number of chair.....

thanks Moderator.

The cost of the first chair is $10 and $1 for each additional chair.

So, for n chairs one chair goes for $10 and the rest n-1 chairs go for $1 each, total $10+$1*(n-1)=9+n.

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

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04 Aug 2013, 06:18

Bunuel wrote:

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.

I am not so good at translating words to numbers, could you post some similar problems to practice the skill?
_________________

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

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04 Aug 2013, 06:21

1

This post received KUDOS

Stiv wrote:

Bunuel wrote:

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.

I am not so good at translating words to numbers, could you post some similar problems to practice the skill?

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

So, now we can see that, for statement 1, the question is how much more than $30.00? At $31.00, n<24, while at, say $300.00, n>24.

For statement 2, from the average and the information in the stem, we can calculate n: (10 + (n-1))/n = 1.36, so n = 25.

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

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21 Jul 2014, 03:17

Bunuel wrote:

carcass wrote:

Bunuel wrote:

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.

awesome as you have rephrased the statement,.

We could think also in this way: 1 chair cost 10 and the others 1 more $. for 24 chairs we have a total of 33 $. so we could say: is total cost more than 33$ ??? is correct bunuel ??

also is unclear (n-1) in the formula above is not : Tot= 10 + 1*N ??????? N is the number of chair.....

thanks Moderator.

The cost of the first chair is $10 and $1 for each additional chair.

So, for n chairs one chair goes for $10 and the rest n-1 chairs go for $1 each, total $10+$1*(n-1)=9+n.

Hope it's clear.

] worndering where 9+n came from. I was plugging in numbers to find averages - 11, 6, etc...crazy
_________________

We could think also in this way: 1 chair cost 10 and the others 1 more $. for 24 chairs we have a total of 33 $. so we could say: is total cost more than 33$ ??? is correct bunuel ??

also is unclear (n-1) in the formula above is not : Tot= 10 + 1*N ??????? N is the number of chair.....

thanks Moderator.

The cost of the first chair is $10 and $1 for each additional chair.

So, for n chairs one chair goes for $10 and the rest n-1 chairs go for $1 each, total $10+$1*(n-1)=9+n.

Hope it's clear.

] worndering where 9+n came from. I was plugging in numbers to find averages - 11, 6, etc...crazy

The cost of the first chair is $10 and $1 for each additional chair.

So, for n chairs one chair goes for $10 and the rest n-1 chairs go for $1 each, total $10+$1*(n-1)=9+n.
_________________

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.

Given : $10 for first chair and $1 for each additional Chair

i.e. Total Cost of n chairs = 10 + (n-1)*1

Question : Is n > 24 ?

Statement 1: The delivery cost for the order totalled more than $30.00. 10 + (n-1)*1 > 30 i.e. n > 21 NOT SUFFICIENT

Statement 2: The average (arithmetic mean) delivery cost of the n chairs was $1.36. [10 + (n-1)*1]/n = 1.36 i.e. 1.36n = 10 + (n-1) i.e. 0.36n = 9 i.e. n = 25 SUFFICIENT

Answer: Option B
_________________

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

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07 Sep 2015, 07:16

Bunuel wrote:

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.

Hi Bunuel If stmnt 2 would be The average (arithmetic mean) delivery cost of the n chairs was greater than $1.36 then we get n<25 --> in that case, number of chairs could be 24,23,1, 10 in any case answer will be NO, n>24? NO hence sufficient am I right?

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.

Hi Bunuel If stmnt 2 would be The average (arithmetic mean) delivery cost of the n chairs was greater than $1.36 then we get n<25 --> in that case, number of chairs could be 24,23,1, 10 in any case answer will be NO, n>24? NO hence sufficient am I right?

Yes, if it were (9+n)/n>1.36, it still would be sufficient.
_________________

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.

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.

From the original condition, using cost:c gives us c=10+(n-1)1=9+n and thus we have 2 variable (c,n) and 1 equation (c=9+n). Since we need to match the number of variables and equations, we need 1 more equation and we have 1 each in 1) and 2). Therefore D is likely the answer.

In case of 1), c>30, 9+n>30, n>21 therefore the condition is not sufficient(if the range of que includes the range of con then the condition is sufficient) In case of 2), c=1.36n=9+n, 1.36n-n=9, 0.36n=9, n=25>24 the answer is yes. The condition is sufficient and therefore the answer is B
_________________

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

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25 Nov 2017, 06:56

GyanOne wrote:

Simple one.

Using (1), the total is to be more than $30, which can be the case if n is greater than or less than 24. For instance, when n=22, the total cost is $31, but when n=25, the total cost is $34, which are both greater than $30. Insufficient. Using (2), we are given that [10 + (n-1)]/n = 1.36 => n= 25, which is greater than 24. Sufficient.