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If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a

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If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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New post 31 Jan 2019, 00:24
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If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a, b, c, d, and e?


A. 255

B. 215

C. 175

D. 135

E. It is impossible to tell from the information given.

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If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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New post Updated on: 31 Jan 2019, 03:54
Bunuel wrote:
If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a, b, c, d, and e?


A. 255

B. 215

C. 175

D. 135

E. It is impossible to tell from the information given.



Given,

a + c + e - b - d = 875

a + c + e - ( b + d) = 875

a + c + e - 200 = 875

a + c + e = 1075

and b + d =200.

\(\frac{a + b + c + d + e}{5}\)

= \(\frac{1075 + 200}{5}\)

= 255

A is the correct answer.

Originally posted by selim on 31 Jan 2019, 01:28.
Last edited by selim on 31 Jan 2019, 03:54, edited 1 time in total.
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Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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New post 31 Jan 2019, 03:08
Bunuel wrote:
If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a, b, c, d, and e?


A. 255

B. 215

C. 175

D. 135

E. It is impossible to tell from the information given.



a − b + c − d + e = 875
= (a+c+e) - (b +d)= 875
---> a+c+e = 1075
----> a+c+e+b+d = 1075 +200 = 1275
Mean = 1275/5 =255 ---> a
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Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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New post 31 Jan 2019, 03:44
1
selim wrote:
Bunuel wrote:
If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a, b, c, d, and e?


A. 255

B. 215

C. 175

D. 135

E. It is impossible to tell from the information given.



Given,

a + c + e - b - d = 875

a + c + e - ( b + d) = 875

a + c + e - 200 = 875

a + c + e = 675.

and b + d =200.

\(\frac{a + b + c + d + e}{5}\)

= \(\frac{675 + 200}{5}\)

= 175.

C is the correct answer.

i think u have incorrectly subtracted 200,it needs to be added
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Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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New post 31 Jan 2019, 06:50

Solution


Given:
    • a – b + c – d + e = 875
    • b + d = 200

To find:
    • The mean of {a, b, c, d, e} = \(\frac{(a + b + c + d + e)}{5}\)

Approach and Working:
    • a + c + e – (b + d) = 875
      o This implies, a + c + e = 875 + 200 = 1075

    • Thus, a + b + c + d + e = 1075 + 200 = 1275
    • Therefore, mean = \(\frac{1275}{5} = 255\)

Hence, the correct answer is Option A

Answer: A

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Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a   [#permalink] 31 Jan 2019, 06:50
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