chetan2u
email2vm
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 10-8 =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