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Jamal got three monthly electric bills over the course of th

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Jamal got three monthly electric bills over the course of th [#permalink] New post 14 Jun 2018, 14:19
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Question Stats:

66% (01:51) correct 33% (01:05) wrong based on 6 sessions
Jamal got three monthly electric bills over the course of three months. If his average monthly bill over these three months was $44 more than the median bill, and the sum of the largest and the smallest bills was $412, what was the total amount of the three electric bills Jamal got over the course of the three months?

(A) $456
(B) $552
(C) $600
(D) $824
(E) $1,000
[Reveal] Spoiler: OA

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Re: Jamal got three monthly electric bills over the course of th [#permalink] New post 15 Jun 2018, 07:47
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sandy wrote:
Jamal got three monthly electric bills over the course of three months. If his average monthly bill over these three months was $44 more than the median bill, and the sum of the largest and the smallest bills was $412, what was the total amount of the three electric bills Jamal got over the course of the three months?

(A) $456
(B) $552
(C) $600
(D) $824
(E) $1,000


Let a,b,c are there months bills and b be median and a and c are largest and smallest respectively.

Given a+b+c/3 = 44+b, sub a+c = 412 in this equation and finally we get b = 140.

Now given a+c = 412 and b = 140 => Total = 552.

B.
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1600 [0], given: 373

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Re: Jamal got three monthly electric bills over the course of th [#permalink] New post 05 Jul 2018, 02:59
Expert's post
Explanation

Call the smallest bill S, the middle bill M, and the largest bill L.

M is the same as the median, since there are only three values. The equation for average is:

\(\frac{Sum..of..bills}{Number..of..bills}=Average\)

Incorporate the equation for averages into the following equation:


\(\frac{S+M+L}{3}=M+44\)

While the individual values of S and L are not given, their sum is:

\(412 = 2M + 132\)

\(280 = 2M\)

\(140 = M\)

Finally, add M to the sum of S and L:

\(140 + 412 = 552\)

Hence option B is correct!
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Re: Jamal got three monthly electric bills over the course of th   [#permalink] 05 Jul 2018, 02:59
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