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Jamal got three monthly electric bills over the course of th
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14 Jun 2018, 14:19
14 Jun 2018, 14:19
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Expert Reply
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Question Stats:
83% (02:05) correct
16% (01:40) wrong based on 55 sessions
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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
(A) $456
(B) $552
(C) $600
(D) $824
(E) $1,000
Re: Jamal got three monthly electric bills over the course of th
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15 Jun 2018, 07:47
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
(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.
Re: Jamal got three monthly electric bills over the course of th
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05 Jul 2018, 02:59
05 Jul 2018, 02:59
Expert Reply
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!
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!
