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Math Expert V
Joined: 02 Sep 2009
Posts: 58464
When a student weighing 45 kgs left a class, the average weight of the  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 72% (02:28) correct 28% (03:12) wrong based on 32 sessions

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When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

A. 45
B. 49
C. 57
D. 64
E. 65

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Re: When a student weighing 45 kgs left a class, the average weight of the  [#permalink]

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Bunuel wrote:
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

A. 45
B. 49
C. 57
D. 64
E. 65

Let, Average of 59 students = x

Total of 59 students = 59x

Total of 60 students = 59x+45

Average of 60 students = (59x+45)/60

now, x- 0.2 = (59x+45)/60

60x-12 = 59x+45

i.e. x = 57

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Re: When a student weighing 45 kgs left a class, the average weight of the  [#permalink]

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Bunuel wrote:
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

A. 45
B. 49
C. 57
D. 64
E. 65

sum of 59 +45/60 = x
and
sum of 59 /59 = x+.2
sum of 59 = 59x+12 ~11.8
so
59x+12+45= 60x
x = 57
IMO C
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Re: When a student weighing 45 kgs left a class, the average weight of the  [#permalink]

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Bunuel wrote:
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

A. 45
B. 49
C. 57
D. 64
E. 65

Let x = the average weight of the 60 students (including the student who weighed 45 kg). Thus, the original sum of all 60 students was 60x. When the student weighing 45 kg left the class, the revised sum was (60x - 45), and the number of students decreased to 59. Noting that 200 g = 0.2 kg, we have:

(60x - 45)/59 = x + 0.2

60x - 45 = 59x + 11.8

x = 56.8

Therefore, the average weight of the 60 students (including the student who weighed 45 kg) is 56.8 kg and the average weight of the 59 students (not including the student who weighed 45 kg) is 56.8 + 0.2 = 57 kg.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: When a student weighing 45 kgs left a class, the average weight of the   [#permalink] 24 Feb 2019, 06:44
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