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If the average weight of 8th, 9th and 10th class is in the ratio of a

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Bunuel
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If the average weight of 8th, 9th and 10th class is in the ratio of a [#permalink] New post  15 Jun 2021, 07:15
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34% (01:53) correct 66% (01:09) wrong based on 61 sessions

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If the average weight of 8th, 9th and 10th class is in the ratio of a:b:c and the number of students in class 8th, 9th and 10th is in the ratio of x:y:z, then the average weight of all the three classes considered together is

(A) \(\frac{a + b + c}{x + y + z}\)

(B) \(\frac{a}{x} + \frac{b}{y} + \frac{c}{z}\)

(C) \(\frac{ax + by+ cz}{x+ y+ z}\)

(D) \(\frac{ax + by+ cz}{a+ b+ c}\)

(E) Cannot be determined
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rajatchopra1994
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Re: If the average weight of 8th, 9th and 10th class is in the ratio of a [#permalink] New post  15 Jun 2021, 07:37
Explanation:

Total Weight in all three classes = ax + by + cz
Total number of students in all three classes = x + y + z
Average of all 3 classes = Total weight / Total Students
= ax + by + cz / x + y + z

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ShaikhMoice
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Re: If the average weight of 8th, 9th and 10th class is in the ratio of a [#permalink] New post  25 Aug 2021, 07:47
Only the ratio of weights is provided & not the actual weights & hence average weight can not be calculated

E
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DashingNightmare2
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Re: If the average weight of 8th, 9th and 10th class is in the ratio of a [#permalink] New post  25 Aug 2021, 10:37
Average weight =\( \frac{total weight }{ total number of students}\)

the average weight of 8th, 9th, and 10th class is in the ratio of a:b:c => we are not given total weight
number of students in class 8th, 9th, and 10th is in the ratio of x:y:z
We are not given the total number of students, only the ratio is given
We cannot determine the answer

Hence E
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Re: If the average weight of 8th, 9th and 10th class is in the ratio of a [#permalink]
25 Aug 2021, 10:37
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