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The total cost to pick apples at a certain orchard consists of a fixed
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09 Apr 2016, 04:45
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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
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Re: The total cost to pick apples at a certain orchard consists of a fixed
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09 Apr 2016, 06:12
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 = $0.5 per pound F not known Insuff2> The total cost to pick 10 pounds of apples at this orchard is 1.00$ more than the total cost to pick 8 pounds Again we can just say that 108 =2 pound cost $1 or x = 1/2 = $0.5.. F not known Insuffwhere you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..
E
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Re: The total cost to pick apples at a certain orchard consists of a fixed
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09 Apr 2016, 06:32
chetan2u wrote: Hi, this Q tells you that the total consist of two items 1) Fixed charge , say F 2) variable charge per pound say x per pound.. lets see the statements 1> The total cost to pick 8 pounds of apples at this orchard is 1.50$ 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 = $0.5 per pound F not known Insuff2> The total cost to pick 10 pounds of apples at this orchard is 1.00$ more than the total cost to pick 8 pounds Again we can just say that 108 =2 pound cost $1 or x = 1/2 = $0.5.. F not known Insuffwhere you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..
E Chetan, Isn't the questions saying: T=F+x The total cost to pick 8 pounds of apples at this orchard is 1.50$ 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?



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Re: The total cost to pick apples at a certain orchard consists of a fixed
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09 Apr 2016, 07:38
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 = $0.5 per pound F not known Insuff2> The total cost to pick 10 pounds of apples at this orchard is 1.00$ more than the total cost to pick 8 pounds Again we can just say that 108 =2 pound cost $1 or x = 1/2 = $0.5.. F not known Insuffwhere you are going wrong is that you are not realizing that when you subtract TOTAL cost of two different quantities, ONLY variable is left .FIXED charge gets cancelled out ..
E Chetan, Isn't the questions saying: T=F+x The total cost to pick 8 pounds of apples at this orchard is 1.50$ 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
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16 Aug 2016, 20:29
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
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22 Jan 2017, 15:13
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
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14 Feb 2017, 23:51
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!



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Re: The total cost to pick apples at a certain orchard consists of a fixed
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08 Apr 2017, 11:13
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.



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Re: The total cost to pick apples at a certain orchard consists of a fixed
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13 Jul 2017, 10:03
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 = $0.5 per pound F not known Insuff2> The total cost to pick 10 pounds of apples at this orchard is 1.00$ more than the total cost to pick 8 pounds Again we can just say that 108 =2 pound cost $1 or x = 1/2 = $0.5.. F not known Insuffwhere 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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Re: The total cost to pick apples at a certain orchard consists of a fixed
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28 Aug 2017, 01:46
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



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Re: The total cost to pick apples at a certain orchard consists of a fixed
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31 Dec 2017, 09:24
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, 30p15p = 7,5 => 15p = 7,5 I don't see where I can be wrong here, Thanks in advance for your help,



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