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The average length of 6 snakes is 80 cm. If the average length of one

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Bunuel
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The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   12 Jul 2016, 04:19
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The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?

A. 75.
B. 85.
C. 90.
D. 94.
E. 100.
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B
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msk0657
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The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   12 Jul 2016, 04:59
Edit:
Bunuel wrote:
The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?

A. 75.
B. 85.
C. 90.
D. 94.
E. 100.




Given ( X1 + X2 ... + X6 ) / 6 = 80

( X1 + X2 ... + X6 ) = 480 --> Eq 1.

Now given avg length of one third snakes is 70. That means out 6 / 3 = 2 snakes.

let the avg length of two snakes be ( X1 + X2 ) / 2 = 70 .

( X1 + X2 ) = 140. --> eq 2.

Now we are asked to find the average of the remaining i.e. ( X3 + X4 + X5 + X6 )

Substitute eq 2 in eq 1 then we get

140 + X3 + X4 + X5 + X6 = 480

=> X3 + X4 + X5 + X6 = 340

Now divide 340 by 4 we get 85.

=> ( X3 + X4 + X5 + X6) / 4 = 85 = avg length of remaining snakes.

IMO correct option is B.

OA please...will correct if I missed anything
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   14 Jul 2016, 19:14
S1 = sum of lengths of 6 snakes
S2 = sum of lengths of 1/3rd snakes i.e 2 snakes
S3 = s1- s2 = 4 snakes

Given,
S1/6 = 80
S1 = 480

S2/2 = 70
S2 = 140

Thus , S3 = 480 - 140 = 340

Average length of 4 snake = 340/4 = 85
Ans: b
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   14 Jul 2016, 20:59
let x=average of other snakes
x=(6*80-2*70)/4=85
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OptimusPrepJanielle
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   14 Jul 2016, 22:06
Expert Reply
Bunuel wrote:
The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?

A. 75.
B. 85.
C. 90.
D. 94.
E. 100.


Total length of 6 snakes = 480 cm
Total length of 1/3rd of sakes or 2 snakes = 2*70 = 140

Average length of other snakes = (480 - 140)/4 = 340/4 = 85 cm

Correct Option: B

Try to convert the average to the total value, this helps you to solve the question easily
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   14 Jul 2016, 22:33
So our first step would be calculating the total average which is 80*6 = 480cm

Now the question says 1/3 average is 70 which means 70*2 = 140cm

So for the remaining 4 snakes the height would be 480-140 = 340

And subsequently the average would be 340/4=85cm Hence Answer is B
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   11 Dec 2016, 00:29
Here is my take on this Question -->

Sum (6)=480
Sum(2)=140
Sum(4)=340
Hence Mean(4)=340/4=85

Hence B
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink] New post   11 Dec 2016, 01:35
Bunuel wrote:
The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?

A. 75.
B. 85.
C. 90.
D. 94.
E. 100.

Quote:
The average length of 6 snakes is 80 cm.

Total length of 6 snakes is 480 cm
Quote:
If the average length of one third of the snakes is 70 cm

Total length of 2 snakes is 140 cm

So, Total Length of 4 snakes is 340cm

So, Avg of 4 snakes is \(\frac{340}{4} = 85cm\)

Hence, correct answer will be (B) 85 cm
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Re: The average length of 6 snakes is 80 cm. If the average length of one [#permalink]
11 Dec 2016, 01:35
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