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# The ratio of boys to girls in a game is 4:3.The average weight of all

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Joined: 15 Dec 2015
Posts: 115
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The ratio of boys to girls in a game is 4:3.The average weight of all  [#permalink]

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30 Jul 2017, 22:53
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45% (medium)

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69% (02:51) correct 31% (03:00) wrong based on 79 sessions

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The ratio of boys to girls in a game is 4:3.The average weight of all the students of the game is 45 kg.If the average weight of girls is 7kg less than that of the boys, what is the ratio of the average weight of boys to the average weight of girls?

A. 47:40
B. 48:41
C. 48:42
D. 50:43
E. 4:3
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Joined: 26 Feb 2016
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Re: The ratio of boys to girls in a game is 4:3.The average weight of all  [#permalink]

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30 Jul 2017, 23:23
1
Let the average weight of the girls be x.
The average weight of the boys will be x+7.

Given data:
Boys:Girls = 4:3
Average weight of the class is 45

Hence, the boys and girls will be in the form 4A:3A
Framing the equation,

$$\frac{4A(x+7) + 3A(x)}{(4A + 3A)} = 45$$
4Ax + 28A + 3Ax = 45*7A
7Ax = 287A
x = 41
Hence, the average weight of the boys is 48(which is x+7)

Therefore, the ratio of weights of boys:girls = 48:41(Option B)
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The ratio of boys to girls in a game is 4:3.The average weight of all  [#permalink]

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23 Dec 2018, 18:08
DHAR wrote:
The ratio of boys to girls in a game is 4:3.The average weight of all the students of the game is 45 kg.If the average weight of girls is 7kg less than that of the boys, what is the ratio of the average weight of boys to the average weight of girls?

A. 47:40
B. 48:41
C. 48:42
D. 50:43
E. 4:3

let b=boys' weight
g=girls' weight
total weight=45*(4+3)=315
b/4-[(315-b)/3]=7→
b=192
315-192=123=g
(192/4):(123/3)=48:41
B
The ratio of boys to girls in a game is 4:3.The average weight of all   [#permalink] 23 Dec 2018, 18:08
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