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Manager  Status: folding sleeves up
Joined: 26 Apr 2013
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GMAT 1: 530 Q39 V23 GMAT 2: 560 Q42 V26 GPA: 3.5
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The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 68% (01:43) correct 32% (01:38) wrong based on 811 sessions

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The total cost to pick apples at a certain orchard consists of a fixed charge plus an additional charge per pound of apples picked.
What is the total cost to pick 15 pounds of apples at this orchard?

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds

Sol>

let T be the total cost/pound which includes fixed+additional charge

st1>

8T=5T+1.5
therefore T=0.5
sufficient

st2>
like st1, st2 is sufficient

but I am wrong?

Am I missing something?

Ravi
Math Expert V
Joined: 02 Aug 2009
Posts: 8006
Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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7
email2vm wrote:
The total cost to pick apples at a certain orchard consists of a fixed charge plus an additional charge per pound of apples picked.
What is the total cost to pick 15 pounds of apples at this orchard?

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds

Sol>

let T be the total cost/pound which includes fixed+additional charge

st1>

8T=5T+1.5
therefore T=0.5
sufficient

st2>
like st1, st2 is sufficient

but I am wrong?

Am I missing something?

Ravi

Hi,

this Q tells you that the total consist of two items

1) Fixed charge , say F
2) variable charge per pound say x per pound..

lets see the statements

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
here you can easily see that 3 pounds cost 1.5 or x is 1.5/3 = \$0.5 per pound
F not known
Insuff

2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds
Again we can just say that 10-8 =2 pound cost \$1 or x = 1/2 = \$0.5..
F not known
Insuff

where you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..

E
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Manager  Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 121
Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23 GMAT 2: 560 Q42 V26 GPA: 3.5
WE: Consulting (Computer Hardware)
Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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1
chetan2u wrote:

Hi,

this Q tells you that the total consist of two items

1) Fixed charge , say F
2) variable charge per pound say x per pound..

lets see the statements

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
here you can easily see that 3 pounds cost 1.5 or x is 1.5/3 = \$0.5 per pound
F not known
Insuff

2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds
Again we can just say that 10-8 =2 pound cost \$1 or x = 1/2 = \$0.5..
F not known
Insuff

where you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..

E

Chetan,

Isn't the questions saying:

T=F+x

The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost (and not the x (variable)) to pick 5 pounds

St1> 8T =5T+1.5?

and the question is asking for

The total cost to pick apples at a certain orchard consists of a fixed charge plus an additional charge per pound of apples picked.
What is the total cost to pick 15 pounds of apples at this orchard?
Math Expert V
Joined: 02 Aug 2009
Posts: 8006
Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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2
1
email2vm wrote:
chetan2u wrote:

Hi,

this Q tells you that the total consist of two items

1) Fixed charge , say F
2) variable charge per pound say x per pound..

lets see the statements

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
here you can easily see that 3 pounds cost 1.5 or x is 1.5/3 = \$0.5 per pound
F not known
Insuff

2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds
Again we can just say that 10-8 =2 pound cost \$1 or x = 1/2 = \$0.5..
F not known
Insuff

where you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..

E

Chetan,

Isn't the questions saying:

T=F+x

The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost (and not the x (variable)) to pick 5 pounds

St1> 8T =5T+1.5?

and the question is asking for

The total cost to pick apples at a certain orchard consists of a fixed charge plus an additional charge per pound of apples picked.
What is the total cost to pick 15 pounds of apples at this orchard?

hi,
the T for 8 pounds = F + 8X
and for 5 pounds = F + 5x..
as per st 1
F +8x = F+5x+1.5..
3x = 1.5..
Hope you have understood
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Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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3
You are able to determine the price per pound of apple from both statement 1 and statement 2 (\$0.5/pound). However, in order to calculate the total cost to pick 15 pounds, you will also need to know the fixed cost, which is still unknown. Therefore the answer is E.
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Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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mzuberi wrote:
You are able to determine the price per pound of apple from both statement 1 and statement 2 (\$0.5/pound). However, in order to calculate the total cost to pick 15 pounds, you will also need to know the fixed cost, which is still unknown. Therefore the answer is E.

Please correct me if I'm wrong, but can't you use the value of the cost of pounds per apple to plug back into the formula to determine F? Or would that be incorrect?

Thanks!
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Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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Even if you plug it back, it will cancel out.

Let f= fixed cost ; a= additional cost per pound

By st1. f+8a = f+5a + 1.05

a= (1.05/3) = 0.35

Now even if you plug this back, you cannot get 'f' because it gets cancelled out.

Hope it's clear.

alandizzle wrote:
mzuberi wrote:
You are able to determine the price per pound of apple from both statement 1 and statement 2 (\$0.5/pound). However, in order to calculate the total cost to pick 15 pounds, you will also need to know the fixed cost, which is still unknown. Therefore the answer is E.

Please correct me if I'm wrong, but can't you use the value of the cost of pounds per apple to plug back into the formula to determine F? Or would that be incorrect?

Thanks!
Manager  B
Joined: 13 Dec 2013
Posts: 144
Location: United States (NY)
Concentration: General Management, International Business
Schools: Cambridge"19 (A)
GMAT 1: 710 Q46 V41 GMAT 2: 720 Q48 V40 GPA: 4
WE: Consulting (Consulting)
Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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2
2
email2vm wrote:
The total cost to pick apples at a certain orchard consists of a fixed charge plus an additional charge per pound of apples picked.
What is the total cost to pick 15 pounds of apples at this orchard?

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds

Sol>

let T be the total cost/pound which includes fixed+additional charge

st1>

8T=5T+1.5
therefore T=0.5
sufficient

st2>
like st1, st2 is sufficient

but I am wrong?

Am I missing something?

Ravi

Taking 1):

f = fixed charge, p=price per pound

f+8p=f+5p+1.5
3p=1.5
p=0.5

But, f is still needed. Putting p=0.5 back into the equation:
f+4=f+4, so we still don't know what the fixed price is.

Same for 2), and combining 1) and 2) does not provide additional info.

Kudos if you agree! Comment if you have a better method.
Manager  B
Joined: 12 Nov 2016
Posts: 70
Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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chetan2u wrote:
email2vm wrote:
The total cost to pick apples at a certain orchard consists of a fixed charge plus an additional charge per pound of apples picked.
What is the total cost to pick 15 pounds of apples at this orchard?

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds

Sol>

let T be the total cost/pound which includes fixed+additional charge

st1>

8T=5T+1.5
therefore T=0.5
sufficient

st2>
like st1, st2 is sufficient

but I am wrong?

Am I missing something?

Ravi

Hi,

this Q tells you that the total consist of two items

1) Fixed charge , say F
2) variable charge per pound say x per pound..

lets see the statements

1> The total cost to pick 8 pounds of apples at this orchard is 1.50\$ more than the total cost to pick 5 pounds
here you can easily see that 3 pounds cost 1.5 or x is 1.5/3 = \$0.5 per pound
F not known
Insuff

2> The total cost to pick 10 pounds of apples at this orchard is 1.00\$ more than the total cost to pick 8 pounds
Again we can just say that 10-8 =2 pound cost \$1 or x = 1/2 = \$0.5..
F not known
Insuff

where you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..

E

Hi Chetan,

Can you clarify one point for me:

In this case in each of the statements we are able to figure out cost per pound of apples is 0.5.

Therefore, for 5 pounds of apples, it should be 2.50. The remaining 2.50 should be the fixed cost!!!
Similarly, 8 pounds of apple - 8*0.5+2.50=6.50, which is 1.50 as per the stem.

What m i missing out here
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Joined: 24 Feb 2017
Posts: 35
Schools: CBS '20 (S)
GMAT 1: 760 Q50 V42 Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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Chets25 wrote:
The remaining 2.50 should be the fixed cost!!!

Remaining 2.50? Remaining from what?

From what I see in the question, it is not mentioned anywhere that 5 pounds cost \$5.

5 pounds could cost \$10, and the fixed price can be \$7.50
5 pounds could cost \$100, and the fixed price can be \$97.50

Chets25 wrote:
let T be the total cost/pound which includes fixed+additional charge

st1>

8T=5T+1.5

Assuming that the total cost/pound is the same for both 8 pounds and 5 pounds is incorrect in this case, because the total consists of 2 parts: a fixed and a variable. Your equation should be: 8(T1) = 5(T2) + 1.5
Intern  B
Joined: 17 Mar 2017
Posts: 9
GMAT 1: 510 Q47 V15 GMAT 2: 600 Q49 V22 Re: The total cost to pick apples at a certain orchard consists of a fixed  [#permalink]

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chetan2u ,

From (1) and (2) can we say:

(2) is 10p = 1 +8p

we replace 8p in the above by (1) and we have (1) + (2): 10p = 1 + 1,5 + 5p = 2,5 + 5p

If we multiply each side of the previous by 3:

3 x (10p) = 3 x (2,5 + 5p)
so: 30p = 7,5 +15p

Thus, 30p-15p = 7,5 => 15p = 7,5

I don't see where I can be wrong here,

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Posts: 13408
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_________________ Re: The total cost to pick apples at a certain orchard consists of a fixed   [#permalink] 15 Jan 2019, 13:44
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